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260138952 = 23341572557
BaseRepresentation
bin11111000000101…
…10011111001000
3200010111102120000
433200112133020
51013043421302
641451403000
76306100413
oct1740263710
9603442500
10260138952
11123929277
1273153460
1341b82598
1426798b7a
1517c8831c
hexf8167c8

260138952 has 80 divisors (see below), whose sum is σ = 733557660. Its totient is φ = 86126976.

The previous prime is 260138941. The next prime is 260139001. The reversal of 260138952 is 259831062.

260138952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 254913156 + 5225796 = 15966^2 + 2286^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100458 + ... + 103014.

Almost surely, 2260138952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260138952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366778830).

260138952 is an abundant number, since it is smaller than the sum of its proper divisors (473418708).

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

260138952 is a wasteful number, since it uses less digits than its factorization.

260138952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 260138952 is about 16128.8236396831. The cubic root of 260138952 is about 638.3641098598.

The spelling of 260138952 in words is "two hundred sixty million, one hundred thirty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 216 314 324 471 628 648 942 1256 1413 1884 2557 2826 3768 4239 5114 5652 7671 8478 10228 11304 12717 15342 16956 20456 23013 25434 30684 33912 46026 50868 61368 69039 92052 101736 138078 184104 207117 276156 401449 414234 552312 802898 828468 1204347 1605796 1656936 2408694 3211592 3613041 4817388 7226082 9634776 10839123 14452164 21678246 28904328 32517369 43356492 65034738 86712984 130069476 260138952