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151490304 = 2833731101
BaseRepresentation
bin10010000011110…
…00111100000000
3101120001111122000
421001320330000
5302240142204
623010544000
73516434460
oct1101707400
9346044560
10151490304
117856a9a9
1242898000
1325501344
1416195ba0
15d476039
hex9078f00

151490304 has 288 divisors, whose sum is σ = 533729280. Its totient is φ = 41472000.

The previous prime is 151490293. The next prime is 151490323. The reversal of 151490304 is 403094151.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499854 + ... + 1499954.

Almost surely, 2151490304 is an apocalyptic number.

151490304 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 151490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266864640).

151490304 is an abundant number, since it is smaller than the sum of its proper divisors (382238976).

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

151490304 is a wasteful number, since it uses less digits than its factorization.

151490304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 151490304 is about 12308.1397457130. The cubic root of 151490304 is about 533.0831382034.

The spelling of 151490304 in words is "one hundred fifty-one million, four hundred ninety thousand, three hundred four".