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645231540 = 223553331613
BaseRepresentation
bin100110011101010…
…111001110110100
31122222010011021110
4212131113032310
52310134402130
6144005315020
721663243342
oct4635271664
91588104243
10645231540
11301242008
12160105a70
13a38a4715
146199c992
153b9a4ab0
hex267573b4

645231540 has 96 divisors (see below), whose sum is σ = 1849309056. Its totient is φ = 168030720.

The previous prime is 645231511. The next prime is 645231569. The reversal of 645231540 is 45132546.

It is an interprime number because it is at equal distance from previous prime (645231511) and next prime (645231569).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 645231498 and 645231507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052274 + ... + 1052886.

It is an arithmetic number, because the mean of its divisors is an integer number (19263636).

Almost surely, 2645231540 is an apocalyptic number.

645231540 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 645231540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924654528).

645231540 is an abundant number, since it is smaller than the sum of its proper divisors (1204077516).

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

645231540 is a wasteful number, since it uses less digits than its factorization.

645231540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 645231540 is about 25401.4082286790. The cubic root of 645231540 is about 864.1156341718.

The spelling of 645231540 in words is "six hundred forty-five million, two hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 331 530 613 636 662 795 993 1060 1226 1324 1590 1655 1839 1986 2452 3065 3180 3310 3678 3972 4965 6130 6620 7356 9195 9930 12260 17543 18390 19860 32489 35086 36780 52629 64978 70172 87715 97467 105258 129956 162445 175430 194934 202903 210516 263145 324890 350860 389868 405806 487335 526290 608709 649780 811612 974670 1014515 1052580 1217418 1949340 2029030 2434836 3043545 4058060 6087090 10753859 12174180 21507718 32261577 43015436 53769295 64523154 107538590 129046308 161307885 215077180 322615770 645231540