Search a number
-
+
132082944 = 283779311
BaseRepresentation
bin1111101111101…
…10110100000000
3100012112111201220
413313312310000
5232303123234
621034555040
73162454320
oct767666400
9305474656
10132082944
1168614964
1238298a80
13214978b6
1413783280
15b8e0a49
hex7df6d00

132082944 has 144 divisors (see below), whose sum is σ = 408145920. Its totient is φ = 37140480.

The previous prime is 132082939. The next prime is 132082957. The reversal of 132082944 is 449280231.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 424549 + ... + 424859.

Almost surely, 2132082944 is an apocalyptic number.

132082944 is a gapful number since it is divisible by the number (14) 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 132082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204072960).

132082944 is an abundant number, since it is smaller than the sum of its proper divisors (276062976).

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

132082944 is an equidigital number, since it uses as much as digits as its factorization.

132082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 132082944 is about 11492.7344004810. The cubic root of 132082944 is about 509.2709614209.

The spelling of 132082944 in words is "one hundred thirty-two million, eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 311 316 336 384 448 474 553 622 632 672 768 896 933 948 1106 1244 1264 1344 1659 1792 1866 1896 2177 2212 2488 2528 2688 3318 3732 3792 4354 4424 4976 5056 5376 6531 6636 7464 7584 8708 8848 9952 10112 13062 13272 14928 15168 17416 17696 19904 20224 24569 26124 26544 29856 30336 34832 35392 39808 49138 52248 53088 59712 60672 69664 70784 73707 79616 98276 104496 106176 119424 139328 141568 147414 171983 196552 208992 212352 238848 278656 294828 343966 393104 417984 424704 515949 557312 589656 687932 786208 835968 1031898 1179312 1375864 1572416 1671936 2063796 2358624 2751728 3144832 4127592 4717248 5503456 6289664 8255184 9434496 11006912 16510368 18868992 22013824 33020736 44027648 66041472 132082944