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270463072 = 25112233037
BaseRepresentation
bin10000000111101…
…111000001100000
3200211220221120211
4100013233001200
51023214304242
642500543504
76462620035
oct2007570140
9624827524
10270463072
1112973aa00
12766b1b94
1344058829
1427cc538c
1518b27317
hex101ef060

270463072 has 72 divisors (see below), whose sum is σ = 610929648. Its totient is φ = 117553920.

The previous prime is 270463033. The next prime is 270463099. The reversal of 270463072 is 270364072.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 87538 + ... + 90574.

It is an arithmetic number, because the mean of its divisors is an integer number (8485134).

Almost surely, 2270463072 is an apocalyptic number.

270463072 is a gapful number since it is divisible by the number (22) 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 270463072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305464824).

270463072 is an abundant number, since it is smaller than the sum of its proper divisors (340466576).

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

270463072 is a wasteful number, since it uses less digits than its factorization.

270463072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 270463072 is about 16445.7615208296. The cubic root of 270463072 is about 646.6996990720.

The spelling of 270463072 in words is "two hundred seventy million, four hundred sixty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 121 176 184 242 253 352 368 484 506 736 968 1012 1936 2024 2783 3037 3872 4048 5566 6074 8096 11132 12148 22264 24296 33407 44528 48592 66814 69851 89056 97184 133628 139702 267256 279404 367477 534512 558808 734954 768361 1069024 1117616 1469908 1536722 2235232 2939816 3073444 5879632 6146888 8451971 11759264 12293776 16903942 24587552 33807884 67615768 135231536 270463072