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132933108 = 223711473061
BaseRepresentation
bin1111110110001…
…10010111110100
3100021010200221110
413323012113310
5233012324413
621105115020
73202625040
oct773062764
9307120843
10132933108
1169045680
1238628a70
1321704859
1413925020
15ba0c8c3
hex7ec65f4

132933108 has 96 divisors (see below), whose sum is σ = 395071488. Its totient is φ = 33782400.

The previous prime is 132933107. The next prime is 132933121. The reversal of 132933108 is 801339231.

It is a super-2 number, since 2×1329331082 = 35342422405079328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132933107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41898 + ... + 44958.

It is an arithmetic number, because the mean of its divisors is an integer number (4115328).

Almost surely, 2132933108 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 132933108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197535744).

132933108 is an abundant number, since it is smaller than the sum of its proper divisors (262138380).

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

132933108 is a wasteful number, since it uses less digits than its factorization.

132933108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 132933108 is about 11529.6620939211. The cubic root of 132933108 is about 510.3612818790.

The spelling of 132933108 in words is "one hundred thirty-two million, nine hundred thirty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 84 94 132 141 154 188 231 282 308 329 462 517 564 658 924 987 1034 1316 1551 1974 2068 3061 3102 3619 3948 6122 6204 7238 9183 10857 12244 14476 18366 21427 21714 33671 36732 42854 43428 64281 67342 85708 101013 128562 134684 143867 202026 235697 257124 287734 404052 431601 471394 575468 707091 863202 942788 1007069 1414182 1582537 1726404 2014138 2828364 3021207 3165074 4028276 4747611 6042414 6330148 9495222 11077759 12084828 18990444 22155518 33233277 44311036 66466554 132933108