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150239232 = 21133111319
BaseRepresentation
bin10001111010001…
…11100000000000
3101110200221111000
420331013200000
5301430123412
622524052000
73503004153
oct1075074000
9343627430
10150239232
1177895a60
1242394000
1325183a70
1415d4bc9a
15d2ca4dc
hex8f47800

150239232 has 384 divisors, whose sum is σ = 550368000. Its totient is φ = 39813120.

The previous prime is 150239171. The next prime is 150239239. The reversal of 150239232 is 232932051.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 150239196 and 150239205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150239239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7907319 + ... + 7907337.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250).

Almost surely, 2150239232 is an apocalyptic number.

150239232 is a gapful number since it is divisible by the number (12) 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 150239232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184000).

150239232 is an abundant number, since it is smaller than the sum of its proper divisors (400128768).

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

150239232 is a wasteful number, since it uses less digits than its factorization.

150239232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 150239232 is about 12257.2114283796. The cubic root of 150239232 is about 531.6116033727.

The spelling of 150239232 in words is "one hundred fifty million, two hundred thirty-nine thousand, two hundred thirty-two".