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272660388 = 2237111322699
BaseRepresentation
bin10000010000000…
…111011110100100
3201000001120201220
4100100013132210
51024300113023
643020020340
76520401150
oct2020073644
9630046656
10272660388
1112aa00870
12773916b0
1344647a10
14282d8060
1518e0d3e3
hex104077a4

272660388 has 96 divisors (see below), whose sum is σ = 854246400. Its totient is φ = 65370240.

The previous prime is 272660359. The next prime is 272660413. The reversal of 272660388 is 883066272.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663 + ... + 23361.

It is an arithmetic number, because the mean of its divisors is an integer number (8898400).

Almost surely, 2272660388 is an apocalyptic number.

272660388 is a gapful number since it is divisible by the number (28) 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 272660388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427123200).

272660388 is an abundant number, since it is smaller than the sum of its proper divisors (581586012).

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

272660388 is a wasteful number, since it uses less digits than its factorization.

272660388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22737 (or 22735 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 272660388 is about 16512.4313170411. The cubic root of 272660388 is about 648.4462993915.

The spelling of 272660388 in words is "two hundred seventy-two million, six hundred sixty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 22699 45398 68097 90796 136194 158893 249689 272388 295087 317786 476679 499378 590174 635572 749067 885261 953358 998756 1180348 1498134 1747823 1770522 1906716 2065609 2996268 3245957 3495646 3541044 4131218 5243469 6196827 6491914 6991292 8262436 9737871 10486938 12393654 12983828 19475742 20973876 22721699 24787308 38951484 45443398 68165097 90886796 136330194 272660388