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132788216 = 23112961853
BaseRepresentation
bin1111110101000…
…10111111111000
3100020212100012002
413322202333320
5232443210331
621102040132
73201452441
oct772427770
9306770162
10132788216
1168a56830
1238579048
1321683912
14138c82c8
15b9ce9cb
hex7ea2ff8

132788216 has 64 divisors (see below), whose sum is σ = 285919200. Its totient is φ = 57254400.

The previous prime is 132788167. The next prime is 132788237. The reversal of 132788216 is 612887231.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 132788216.

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, 155246 + ... + 156098.

Almost surely, 2132788216 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 132788216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142959600).

132788216 is an abundant number, since it is smaller than the sum of its proper divisors (153130984).

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

132788216 is a wasteful number, since it uses less digits than its factorization.

132788216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 132788216 is about 11523.3769356036. The cubic root of 132788216 is about 510.1757897148.

The spelling of 132788216 in words is "one hundred thirty-two million, seven hundred eighty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 29 44 58 61 88 116 122 232 244 319 488 638 671 853 1276 1342 1706 1769 2552 2684 3412 3538 5368 6824 7076 9383 14152 18766 19459 24737 37532 38918 49474 52033 75064 77836 98948 104066 155672 197896 208132 272107 416264 544214 572363 1088428 1144726 1508957 2176856 2289452 3017914 4578904 6035828 12071656 16598527 33197054 66394108 132788216