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132008124 = 223191972939
BaseRepresentation
bin1111101111001…
…00100010111100
3100012101201002210
413313210202330
5232243224444
621033220420
73162023223
oct767444274
9305351083
10132008124
1168573726
1238261710
132146c821
1413763cba
15b8c87b9
hex7de48bc

132008124 has 48 divisors (see below), whose sum is σ = 325987200. Its totient is φ = 41461056.

The previous prime is 132008117. The next prime is 132008171. The reversal of 132008124 is 421800231.

It is a super-2 number, since 2×1320081242 = 34852289603998752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132008124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43447 + ... + 46385.

It is an arithmetic number, because the mean of its divisors is an integer number (6791400).

Almost surely, 2132008124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132008124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162993600).

132008124 is an abundant number, since it is smaller than the sum of its proper divisors (193979076).

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

132008124 is a wasteful number, since it uses less digits than its factorization.

132008124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 132008124 is about 11489.4788393556. The cubic root of 132008124 is about 509.1747823352.

Adding to 132008124 its reverse (421800231), we get a palindrome (553808355).

The spelling of 132008124 in words is "one hundred thirty-two million, eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 197 228 394 591 788 1182 2364 2939 3743 5878 7486 8817 11229 11756 14972 17634 22458 35268 44916 55841 111682 167523 223364 335046 578983 670092 1157966 1736949 2315932 3473898 6947796 11000677 22001354 33002031 44002708 66004062 132008124