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132716376 = 2332133839
BaseRepresentation
bin1111110100100…
…01011101011000
3100020201200122100
413322101131120
5232433411001
621100323400
73201033132
oct772213530
9306650570
10132716376
1168a07861
1238543560
132165a000
14138aa052
15b9b8586
hex7e91758

132716376 has 96 divisors (see below), whose sum is σ = 389844000. Its totient is φ = 40787136.

The previous prime is 132716369. The next prime is 132716411. The reversal of 132716376 is 673617231.

132716376 is a `hidden beast` number, since 13 + 2 + 7 + 1 + 637 + 6 = 666.

It is a super-2 number, since 2×1327163762 = 35227272917146752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132716376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157765 + ... + 158603.

It is an arithmetic number, because the mean of its divisors is an integer number (4060875).

Almost surely, 2132716376 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 132716376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194922000).

132716376 is an abundant number, since it is smaller than the sum of its proper divisors (257127624).

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

132716376 is a wasteful number, since it uses less digits than its factorization.

132716376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 857 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 132716376 is about 11520.2593720801. The cubic root of 132716376 is about 510.0837694001.

The spelling of 132716376 in words is "one hundred thirty-two million, seven hundred sixteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 839 936 1014 1352 1521 1678 2028 2197 2517 3042 3356 4056 4394 5034 6084 6591 6712 7551 8788 10068 10907 12168 13182 15102 17576 19773 20136 21814 26364 30204 32721 39546 43628 52728 60408 65442 79092 87256 98163 130884 141791 158184 196326 261768 283582 392652 425373 567164 785304 850746 1134328 1276119 1701492 1843283 2552238 3402984 3686566 5104476 5529849 7373132 10208952 11059698 14746264 16589547 22119396 33179094 44238792 66358188 132716376