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150339132 = 223323292087
BaseRepresentation
bin10001111010111…
…11111000111100
3101110220000112000
420331133320330
5301441323012
622530142300
73503601336
oct1075377074
9343800460
10150339132
1177954019
1242421990
13251ba388
1415d76456
15d2e9ddc
hex8f5fe3c

150339132 has 96 divisors (see below), whose sum is σ = 420940800. Its totient is φ = 46259136.

The previous prime is 150339131. The next prime is 150339151. The reversal of 150339132 is 231933051.

It is a happy number.

It is a super-2 number, since 2×1503391322 = 45203709221026848, which contains 22 as substring.

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 = 150339096 and 150339105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150339131) 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, 70993 + ... + 73079.

It is an arithmetic number, because the mean of its divisors is an integer number (4384800).

Almost surely, 2150339132 is an apocalyptic number.

150339132 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 150339132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210470400).

150339132 is an abundant number, since it is smaller than the sum of its proper divisors (270601668).

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

150339132 is a wasteful number, since it uses less digits than its factorization.

150339132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 150339132 is about 12261.2859031995. The cubic root of 150339132 is about 531.7294071173.

The spelling of 150339132 in words is "one hundred fifty million, three hundred thirty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 29 36 46 54 58 69 87 92 108 116 138 174 207 261 276 348 414 522 621 667 783 828 1044 1242 1334 1566 2001 2087 2484 2668 3132 4002 4174 6003 6261 8004 8348 12006 12522 18009 18783 24012 25044 36018 37566 48001 56349 60523 72036 75132 96002 112698 121046 144003 181569 192004 225396 242092 288006 363138 432009 544707 576012 726276 864018 1089414 1296027 1392029 1634121 1728036 2178828 2592054 2784058 3268242 4176087 5184108 5568116 6536484 8352174 12528261 16704348 25056522 37584783 50113044 75169566 150339132