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645456060 = 223356191931
BaseRepresentation
bin100110011110001…
…110000010111100
31122222112120021000
4212132032002330
52310214043220
6144014210300
721665200044
oct4636160274
91588476230
10645456060
11301385767
121601b3990
13a3952982
1461a1a724
153b9eb390
hex2678e0bc

645456060 has 96 divisors (see below), whose sum is σ = 2012371200. Its totient is φ = 171754560.

The previous prime is 645456059. The next prime is 645456073. The reversal of 645456060 is 60654546.

It is a happy number.

645456060 is a `hidden beast` number, since 6 + 4 + 5 + 45 + 606 + 0 = 666.

645456060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6454560602 = 833227050781447200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333295 + ... + 335225.

It is an arithmetic number, because the mean of its divisors is an integer number (20962200).

Almost surely, 2645456060 is an apocalyptic number.

645456060 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 645456060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006185600).

645456060 is an abundant number, since it is smaller than the sum of its proper divisors (1366915140).

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

645456060 is a wasteful number, since it uses less digits than its factorization.

645456060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 645456060 is about 25405.8272843063. The cubic root of 645456060 is about 864.2158507769.

The spelling of 645456060 in words is "six hundred forty-five million, four hundred fifty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 619 1238 1857 1931 2476 3095 3714 3862 5571 5793 6190 7428 7724 9285 9655 11142 11586 12380 16713 17379 18570 19310 22284 23172 27855 28965 33426 34758 37140 38620 52137 55710 57930 66852 69516 83565 86895 104274 111420 115860 167130 173790 208548 260685 334260 347580 521370 1042740 1195289 2390578 3585867 4781156 5976445 7171734 10757601 11952890 14343468 17929335 21515202 23905780 32272803 35858670 43030404 53788005 64545606 71717340 107576010 129091212 161364015 215152020 322728030 645456060