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151332480 = 27325134347
BaseRepresentation
bin10010000010100…
…10011010000000
3101112202111010200
421001102122000
5302220114410
623003325200
73515206365
oct1101223200
9345674120
10151332480
1178472372
1242820800
1325477560
141615446c
15d4443c0
hex9052680

151332480 has 384 divisors, whose sum is σ = 588107520. Its totient is φ = 35610624.

The previous prime is 151332451. The next prime is 151332499. The reversal of 151332480 is 84233151.

It is a happy number.

151332480 is a `hidden beast` number, since 151 + 3 + 32 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3219817 + ... + 3219863.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 2151332480 is an apocalyptic number.

151332480 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 151332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294053760).

151332480 is an abundant number, since it is smaller than the sum of its proper divisors (436775040).

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

151332480 is a wasteful number, since it uses less digits than its factorization.

151332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 151332480 is about 12301.7267080683. The cubic root of 151332480 is about 532.8979502302.

The spelling of 151332480 in words is "one hundred fifty-one million, three hundred thirty-two thousand, four hundred eighty".