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151131064 = 2372923209
BaseRepresentation
bin10010000001000…
…01001110111000
3101112101020211211
421000201032320
5302142143224
622555132504
73513410230
oct1100411670
9345336754
10151131064
1178345007
1242744134
1325406986
1416100cc0
15d404894
hex90213b8

151131064 has 48 divisors (see below), whose sum is σ = 335509200. Its totient is φ = 62517504.

The previous prime is 151131031. The next prime is 151131067. The reversal of 151131064 is 460131151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151131067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45492 + ... + 48700.

It is an arithmetic number, because the mean of its divisors is an integer number (6989775).

Almost surely, 2151131064 is an apocalyptic number.

151131064 is a gapful number since it is divisible by the number (14) 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 151131064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167754600).

151131064 is an abundant number, since it is smaller than the sum of its proper divisors (184378136).

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

151131064 is a wasteful number, since it uses less digits than its factorization.

151131064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 151131064 is about 12293.5374892665. The cubic root of 151131064 is about 532.6614250471.

The spelling of 151131064 in words is "one hundred fifty-one million, one hundred thirty-one thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 841 1624 1682 3209 3364 5887 6418 6728 11774 12836 22463 23548 25672 44926 47096 89852 93061 179704 186122 372244 651427 744488 1302854 2605708 2698769 5211416 5397538 10795076 18891383 21590152 37782766 75565532 151131064