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133416640 = 265759561
BaseRepresentation
bin1111111001111…
…00011011000000
3100022001021020001
413330330123000
5233123313030
621123325344
73210010540
oct774743300
9308037201
10133416640
1169345995
1238820854
1321843976
1413a0d320
15baa5cca
hex7f3c6c0

133416640 has 56 divisors (see below), whose sum is σ = 363089952. Its totient is φ = 45742080.

The previous prime is 133416637. The next prime is 133416683. The reversal of 133416640 is 46614331.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 133416599 and 133416608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27541 + ... + 32020.

Almost surely, 2133416640 is an apocalyptic number.

133416640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133416640 is an abundant number, since it is smaller than the sum of its proper divisors (229673312).

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

133416640 is an equidigital number, since it uses as much as digits as its factorization.

133416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59585 (or 59575 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 133416640 is about 11550.6121049925. The cubic root of 133416640 is about 510.9793305850.

The spelling of 133416640 in words is "one hundred thirty-three million, four hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 59561 119122 238244 297805 416927 476488 595610 833854 952976 1191220 1667708 1905952 2084635 2382440 3335416 3811904 4169270 4764880 6670832 8338540 9529760 13341664 16677080 19059520 26683328 33354160 66708320 133416640