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272125360 = 245132331123
BaseRepresentation
bin10000001110000…
…100110110110000
3200222001101211001
4100032010312300
51024131002420
643000331344
76513012253
oct2016046660
9628041731
10272125360
1112a6758a1
1277173b54
13444bb330
14281d909a
1518d54b0a
hex10384db0

272125360 has 80 divisors (see below), whose sum is σ = 684893664. Its totient is φ = 99956736.

The previous prime is 272125327. The next prime is 272125363. The reversal of 272125360 is 63521272.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (272125363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 241759 + ... + 242881.

Almost surely, 2272125360 is an apocalyptic number.

272125360 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 272125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342446832).

272125360 is an abundant number, since it is smaller than the sum of its proper divisors (412768304).

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

272125360 is a wasteful number, since it uses less digits than its factorization.

272125360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 272125360 is about 16496.2225979162. Note that the first 3 decimals coincide. The cubic root of 272125360 is about 648.0218836282.

The spelling of 272125360 in words is "two hundred seventy-two million, one hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 233 260 466 520 932 1040 1123 1165 1864 2246 2330 3029 3728 4492 4660 5615 6058 8984 9320 11230 12116 14599 15145 17968 18640 22460 24232 29198 30290 44920 48464 58396 60580 72995 89840 116792 121160 145990 233584 242320 261659 291980 523318 583960 1046636 1167920 1308295 2093272 2616590 3401567 4186544 5233180 6803134 10466360 13606268 17007835 20932720 27212536 34015670 54425072 68031340 136062680 272125360