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151363460 = 225232811171
BaseRepresentation
bin10010000010110…
…01111110000100
3101112211001122002
421001121332010
5302222112320
623004124432
73515365613
oct1101317604
9345731562
10151363460
1178493676
1242836718
13254886a1
141616187a
15d44d675
hex9059f84

151363460 has 48 divisors (see below), whose sum is σ = 333148032. Its totient is φ = 57657600.

The previous prime is 151363423. The next prime is 151363477. The reversal of 151363460 is 64363151.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128675 + ... + 129845.

It is an arithmetic number, because the mean of its divisors is an integer number (6940584).

Almost surely, 2151363460 is an apocalyptic number.

151363460 is a gapful number since it is divisible by the number (10) 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 151363460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166574016).

151363460 is an abundant number, since it is smaller than the sum of its proper divisors (181784572).

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

151363460 is a wasteful number, since it uses less digits than its factorization.

151363460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 151363460 is about 12302.9858164594. The cubic root of 151363460 is about 532.9343117834.

The spelling of 151363460 in words is "one hundred fifty-one million, three hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 281 460 562 1124 1171 1405 2342 2810 4684 5620 5855 6463 11710 12926 23420 25852 26933 32315 53866 64630 107732 129260 134665 269330 329051 538660 658102 1316204 1645255 3290510 6581020 7568173 15136346 30272692 37840865 75681730 151363460