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272148680 = 23571791213
BaseRepresentation
bin10000001110001…
…010100011001000
3200222002120210202
4100032022203020
51024132224210
643001031332
76513140246
oct2016124310
9628076722
10272148680
1112a691371
1277185548
13444c8b2b
1428203796
1518d5b9a5
hex1038a8c8

272148680 has 64 divisors (see below), whose sum is σ = 629337600. Its totient is φ = 105880320.

The previous prime is 272148629. The next prime is 272148689. The reversal of 272148680 is 86841272.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (272148689) 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, 223754 + ... + 224966.

It is an arithmetic number, because the mean of its divisors is an integer number (9833400).

Almost surely, 2272148680 is an apocalyptic number.

272148680 is a gapful number since it is divisible by the number (20) 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 272148680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314668800).

272148680 is an abundant number, since it is smaller than the sum of its proper divisors (357188920).

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

272148680 is a wasteful number, since it uses less digits than its factorization.

272148680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 272148680 is about 16496.9294112571. The cubic root of 272148680 is about 648.0403940170.

The spelling of 272148680 in words is "two hundred seventy-two million, one hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 71 79 142 158 284 316 355 395 568 632 710 790 1213 1420 1580 2426 2840 3160 4852 5609 6065 9704 11218 12130 22436 24260 28045 44872 48520 56090 86123 95827 112180 172246 191654 224360 344492 383308 430615 479135 688984 766616 861230 958270 1722460 1916540 3444920 3833080 6803717 13607434 27214868 34018585 54429736 68037170 136074340 272148680