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272125140 = 22357647917
BaseRepresentation
bin10000001110000…
…100110011010100
3200222001101111220
4100032010303110
51024131001030
643000330340
76513011520
oct2016046324
9628041456
10272125140
1112a675711
12771739b0
13444bb1c1
14281d8d80
1518d54a10
hex10384cd4

272125140 has 48 divisors (see below), whose sum is σ = 870801792. Its totient is φ = 62199936.

The previous prime is 272125129. The next prime is 272125151. The reversal of 272125140 is 41521272.

272125140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (272125129) and next prime (272125151).

It is a self number, because there is not a number n which added to its sum of digits gives 272125140.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 323539 + ... + 324378.

It is an arithmetic number, because the mean of its divisors is an integer number (18141704).

Almost surely, 2272125140 is an apocalyptic number.

272125140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272125140 is an abundant number, since it is smaller than the sum of its proper divisors (598676652).

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

272125140 is a wasteful number, since it uses less digits than its factorization.

272125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647936 (or 647934 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 272125140 is about 16496.2159297216. The cubic root of 272125140 is about 648.0217089968.

The spelling of 272125140 in words is "two hundred seventy-two million, one hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 647917 1295834 1943751 2591668 3239585 3887502 4535419 6479170 7775004 9070838 9718755 12958340 13606257 18141676 19437510 22677095 27212514 38875020 45354190 54425028 68031285 90708380 136062570 272125140