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645486960 = 243531101859
BaseRepresentation
bin100110011110010…
…101100101110000
31122222121010122110
4212132111211300
52310221040320
6144015005320
721665356116
oct4636254560
91588533573
10645486960
113013a69a8
12160209840
13a3963a61
1461a27ab6
153ba055e0
hex26795970

645486960 has 160 divisors (see below), whose sum is σ = 2088437760. Its totient is φ = 164736000.

The previous prime is 645486953. The next prime is 645486967. The reversal of 645486960 is 69684546.

It is a happy number.

645486960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (645486953) and next prime (645486967).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645486967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751011 + ... + 751869.

It is an arithmetic number, because the mean of its divisors is an integer number (13052736).

Almost surely, 2645486960 is an apocalyptic number.

645486960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044218880).

645486960 is an abundant number, since it is smaller than the sum of its proper divisors (1442950800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

645486960 is a wasteful number, since it uses less digits than its factorization.

645486960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 645486960 is about 25406.4354052276. The cubic root of 645486960 is about 864.2296414619.

The spelling of 645486960 in words is "six hundred forty-five million, four hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 101 120 124 155 186 202 240 248 303 310 372 404 465 496 505 606 620 744 808 859 930 1010 1212 1240 1488 1515 1616 1718 1860 2020 2424 2480 2577 3030 3131 3436 3720 4040 4295 4848 5154 6060 6262 6872 7440 8080 8590 9393 10308 12120 12524 12885 13744 15655 17180 18786 20616 24240 25048 25770 26629 31310 34360 37572 41232 46965 50096 51540 53258 62620 68720 75144 79887 86759 93930 103080 106516 125240 133145 150288 159774 173518 187860 206160 213032 250480 260277 266290 319548 347036 375720 399435 426064 433795 520554 532580 639096 694072 751440 798870 867590 1041108 1065160 1278192 1301385 1388144 1597740 1735180 2082216 2130320 2602770 2689529 3195480 3470360 4164432 5205540 5379058 6390960 6940720 8068587 10411080 10758116 13447645 16137174 20822160 21516232 26895290 32274348 40342935 43032464 53790580 64548696 80685870 107581160 129097392 161371740 215162320 322743480 645486960