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132693096 = 23329832297
BaseRepresentation
bin1111110100010…
…11110001101000
3100020200111201010
413322023301220
5232432134341
621100023520
73200605224
oct772136150
9306614633
10132693096
11689a1318
1238531ba0
132164c533
14138a1784
15b9b1716
hex7e8bc68

132693096 has 64 divisors (see below), whose sum is σ = 347457600. Its totient is φ = 42172928.

The previous prime is 132693089. The next prime is 132693139. The reversal of 132693096 is 690396231.

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, 56620 + ... + 58916.

It is an arithmetic number, because the mean of its divisors is an integer number (5429025).

Almost surely, 2132693096 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 132693096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173728800).

132693096 is an abundant number, since it is smaller than the sum of its proper divisors (214764504).

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

132693096 is a wasteful number, since it uses less digits than its factorization.

132693096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 132693096 is about 11519.2489338498. The cubic root of 132693096 is about 510.0539427756.

The spelling of 132693096 in words is "one hundred thirty-two million, six hundred ninety-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 83 87 116 166 174 232 249 332 348 498 664 696 996 1992 2297 2407 4594 4814 6891 7221 9188 9628 13782 14442 18376 19256 27564 28884 55128 57768 66613 133226 190651 199839 266452 381302 399678 532904 571953 762604 799356 1143906 1525208 1598712 2287812 4575624 5528879 11057758 16586637 22115516 33173274 44231032 66346548 132693096