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260872272 = 2433679013
BaseRepresentation
bin11111000110010…
…01100001010000
3200011212200111000
433203021201100
51013240403042
641515222000
76315243363
oct1743114120
9604780430
10260872272
1112428a221
1273447900
134207b2bb
142690a0da
1517d8074c
hexf8c9850

260872272 has 80 divisors (see below), whose sum is σ = 760060480. Its totient is φ = 85650048.

The previous prime is 260872267. The next prime is 260872277. The reversal of 260872272 is 272278062.

It is an interprime number because it is at equal distance from previous prime (260872267) and next prime (260872277).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260872277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24438 + ... + 33450.

It is an arithmetic number, because the mean of its divisors is an integer number (9500756).

Almost surely, 2260872272 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 260872272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380030240).

260872272 is an abundant number, since it is smaller than the sum of its proper divisors (499188208).

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

260872272 is a wasteful number, since it uses less digits than its factorization.

260872272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9097 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 260872272 is about 16151.5408552868. The cubic root of 260872272 is about 638.9633870005.

The spelling of 260872272 in words is "two hundred sixty million, eight hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4824 7236 9013 9648 14472 18026 27039 28944 36052 54078 72104 81117 108156 144208 162234 216312 243351 324468 432624 486702 603871 648936 973404 1207742 1297872 1811613 1946808 2415484 3623226 3893616 4830968 5434839 7246452 9661936 10869678 14492904 16304517 21739356 28985808 32609034 43478712 65218068 86957424 130436136 260872272