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151260256 = 257313781
BaseRepresentation
bin10010000010000…
…00110001100000
3101112121211001201
421001000301200
5302210312011
623002010544
73514456000
oct1101006140
9345554051
10151260256
1178423084
12427a6a54
1325450714
1416136000
15d42ccc1
hex9040c60

151260256 has 48 divisors (see below), whose sum is σ = 347306400. Its totient is φ = 64821120.

The previous prime is 151260233. The next prime is 151260287. The reversal of 151260256 is 652062151.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4086 + ... + 17866.

It is an arithmetic number, because the mean of its divisors is an integer number (7235550).

Almost surely, 2151260256 is an apocalyptic number.

151260256 is a gapful number since it is divisible by the number (16) 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 151260256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173653200).

151260256 is an abundant number, since it is smaller than the sum of its proper divisors (196046144).

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

151260256 is an equidigital number, since it uses as much as digits as its factorization.

151260256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13812 (or 13790 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 151260256 is about 12298.7908348748. The cubic root of 151260256 is about 532.8131608842.

The spelling of 151260256 in words is "one hundred fifty-one million, two hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10976 13781 27562 55124 96467 110248 192934 220496 385868 440992 675269 771736 1350538 1543472 2701076 3086944 4726883 5402152 9453766 10804304 18907532 21608608 37815064 75630128 151260256