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132793344 = 210341601
BaseRepresentation
bin1111110101001…
…00010000000000
3100020212121020000
413322210100000
5232443341334
621102120000
73201503415
oct772442000
9306777200
10132793344
1168a5a672
1238580000
1321686058
14138ca10c
15b9d1299
hex7ea4400

132793344 has 110 divisors (see below), whose sum is σ = 396794574. Its totient is φ = 44236800.

The previous prime is 132793343. The next prime is 132793357. The reversal of 132793344 is 443397231.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 82944 = 11520^2 + 288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 132793299 and 132793308.

It is not an unprimeable number, because it can be changed into a prime (132793343) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82144 + ... + 83744.

Almost surely, 2132793344 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 132793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198397287).

132793344 is an abundant number, since it is smaller than the sum of its proper divisors (264001230).

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

132793344 is an equidigital number, since it uses as much as digits as its factorization.

132793344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1606 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 132793344 is about 11523.5994376757. The cubic root of 132793344 is about 510.1823569335.

The spelling of 132793344 in words is "one hundred thirty-two million, seven hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1601 1728 2304 2592 3072 3202 3456 4608 4803 5184 6404 6912 9216 9606 10368 12808 13824 14409 19212 20736 25616 27648 28818 38424 41472 43227 51232 57636 76848 82944 86454 102464 115272 129681 153696 172908 204928 230544 259362 307392 345816 409856 461088 518724 614784 691632 819712 922176 1037448 1229568 1383264 1639424 1844352 2074896 2459136 2766528 3688704 4149792 4918272 5533056 7377408 8299584 11066112 14754816 16599168 22132224 33198336 44264448 66396672 132793344