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151468380 = 22345719237
BaseRepresentation
bin10010000011100…
…11100101011100
3101120000101120000
421001303211130
5302233442010
623010254300
73516313530
oct1101634534
9346011500
10151468380
1178555488
1242887390
13254c437b
141618bbc0
15d46e7c0
hex907395c

151468380 has 360 divisors, whose sum is σ = 588617568. Its totient is φ = 31912704.

The previous prime is 151468337. The next prime is 151468393. The reversal of 151468380 is 83864151.

151468380 is a `hidden beast` number, since 1 + 514 + 68 + 3 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4093722 + ... + 4093758.

Almost surely, 2151468380 is an apocalyptic number.

151468380 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 151468380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294308784).

151468380 is an abundant number, since it is smaller than the sum of its proper divisors (437149188).

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

151468380 is a wasteful number, since it uses less digits than its factorization.

151468380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 151468380 is about 12307.2490833655. The cubic root of 151468380 is about 533.0574206530.

The spelling of 151468380 in words is "one hundred fifty-one million, four hundred sixty-eight thousand, three hundred eighty".