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150666240 = 2103517577
BaseRepresentation
bin10001111101011…
…11110000000000
3101111111122020010
420332233300000
5302032304430
622541144520
73506433114
oct1076576000
9344448203
10150666240
117805785a
124255b140
13252a322a
141601d744
15d361cb0
hex8fafc00

150666240 has 176 divisors, whose sum is σ = 511127712. Its totient is φ = 37748736.

The previous prime is 150666239. The next prime is 150666251. The reversal of 150666240 is 42666051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 150666198 and 150666207.

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 15 ways as a sum of consecutive naturals, for example, 260832 + ... + 261408.

Almost surely, 2150666240 is an apocalyptic number.

150666240 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 150666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255563856).

150666240 is an abundant number, since it is smaller than the sum of its proper divisors (360461472).

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

150666240 is a wasteful number, since it uses less digits than its factorization.

150666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 150666240 is about 12274.6177129881. The cubic root of 150666240 is about 532.1147735109.

The spelling of 150666240 in words is "one hundred fifty million, six hundred sixty-six thousand, two hundred forty".