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150447960 = 2332513173161
BaseRepresentation
bin10001111011110…
…10011101011000
3101111002112210200
420331322131120
5302003313320
622532342200
73504533535
oct1075723530
9344075720
10150447960
1177a18863
1242474960
1325227a80
1415da3d8c
15d31c290
hex8f7a758

150447960 has 384 divisors, whose sum is σ = 584962560. Its totient is φ = 33177600.

The previous prime is 150447959. The next prime is 150447961. The reversal of 150447960 is 69744051.

150447960 is a `hidden beast` number, since 150 + 447 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (150447959) and next prime (150447961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150447961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2466330 + ... + 2466390.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2150447960 is an apocalyptic number.

150447960 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 150447960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

150447960 is an abundant number, since it is smaller than the sum of its proper divisors (434514600).

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

150447960 is a wasteful number, since it uses less digits than its factorization.

150447960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 150447960 is about 12265.7229709463. The cubic root of 150447960 is about 531.8576795321.

The spelling of 150447960 in words is "one hundred fifty million, four hundred forty-seven thousand, nine hundred sixty".