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1531645340 = 225376133931
BaseRepresentation
bin101101101001011…
…0000110110011100
310221202001122102012
41123102300312130
511114100122330
6411552250352
752645525211
oct13322606634
93852048365
101531645340
117166348a5
12368b409b8
131b5422124
141075bdb08
158e6eac95
hex5b4b0d9c

1531645340 has 48 divisors (see below), whose sum is σ = 3357639264. Its totient is φ = 586310400.

The previous prime is 1531645333. The next prime is 1531645361. The reversal of 1531645340 is 435461351.

It is a junction number, because it is equal to n+sod(n) for n = 1531645297 and 1531645306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28175 + ... + 62105.

It is an arithmetic number, because the mean of its divisors is an integer number (69950818).

Almost surely, 21531645340 is an apocalyptic number.

1531645340 is a gapful number since it is divisible by the number (10) 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 1531645340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678819632).

1531645340 is an abundant number, since it is smaller than the sum of its proper divisors (1825993924).

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

1531645340 is a wasteful number, since it uses less digits than its factorization.

1531645340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34038 (or 34036 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 1531645340 is about 39136.2407494639. The cubic root of 1531645340 is about 1152.7082584864.

The spelling of 1531645340 in words is "one billion, five hundred thirty-one million, six hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 2257 4514 9028 11285 22570 33931 45140 67862 135724 169655 339310 678620 1255447 2069791 2510894 4139582 5021788 6277235 8279164 10348955 12554470 20697910 25108940 41395820 76582267 153164534 306329068 382911335 765822670 1531645340