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151325280 = 25335231523
BaseRepresentation
bin10010000010100…
…00101001100000
3101112202010021000
421001100221200
5302214402110
623003232000
73515146401
oct1101205140
9345663230
10151325280
1178467a17
1242818600
13254741b2
14161519a8
15d4421c0
hex9050a60

151325280 has 192 divisors, whose sum is σ = 553029120. Its totient is φ = 38573568.

The previous prime is 151325249. The next prime is 151325311. The reversal of 151325280 is 82523151.

It is a happy number.

151325280 is a `hidden beast` number, since 1 + 5 + 132 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (151325249) and next prime (151325311).

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, 98599 + ... + 100121.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2151325280 is an apocalyptic number.

151325280 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 151325280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

151325280 is an abundant number, since it is smaller than the sum of its proper divisors (401703840).

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

151325280 is a wasteful number, since it uses less digits than its factorization.

151325280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 151325280 is about 12301.4340627424. The cubic root of 151325280 is about 532.8894988035.

The spelling of 151325280 in words is "one hundred fifty-one million, three hundred twenty-five thousand, two hundred eighty".