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132933372 = 2231113259101
BaseRepresentation
bin1111110110001…
…10011011111100
3100021010201022020
413323012123330
5233012331442
621105120140
73202625565
oct773063374
9307121266
10132933372
11690458a0
1238629050
1321704a00
141392516c
15ba0c9ec
hex7ec66fc

132933372 has 144 divisors (see below), whose sum is σ = 376306560. Its totient is φ = 36192000.

The previous prime is 132933349. The next prime is 132933391. The reversal of 132933372 is 273339231.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (20412) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1316122 + ... + 1316222.

It is an arithmetic number, because the mean of its divisors is an integer number (2613240).

Almost surely, 2132933372 is an apocalyptic number.

132933372 is a gapful number since it is divisible by the number (12) 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 132933372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188153280).

132933372 is an abundant number, since it is smaller than the sum of its proper divisors (243373188).

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

132933372 is a wasteful number, since it uses less digits than its factorization.

132933372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its digits is 20412, while the sum is 33.

The square root of 132933372 is about 11529.6735426464. The cubic root of 132933372 is about 510.3616197314.

The spelling of 132933372 in words is "one hundred thirty-two million, nine hundred thirty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 59 66 78 101 118 132 143 156 169 177 202 236 286 303 338 354 404 429 507 572 606 649 676 708 767 858 1014 1111 1212 1298 1313 1534 1716 1859 1947 2028 2222 2301 2596 2626 3068 3333 3718 3894 3939 4444 4602 5252 5577 5959 6666 7436 7788 7878 8437 9204 9971 11154 11918 13332 14443 15756 16874 17069 17877 19942 22308 23836 25311 28886 29913 33748 34138 35754 39884 43329 50622 51207 57772 59826 65549 68276 71508 77467 86658 101244 102414 109681 119652 131098 154934 173316 187759 196647 204828 219362 232401 262196 309868 329043 375518 393294 438724 464802 563277 658086 751036 786588 852137 929604 1007071 1126554 1316172 1704274 2014142 2253108 2556411 3021213 3408548 4028284 5112822 6042426 10225644 11077781 12084852 22155562 33233343 44311124 66466686 132933372