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133873880 = 23572167409
BaseRepresentation
bin1111111101011…
…00000011011000
3100022220111102212
413332230003120
5233232431010
621141214252
73213623600
oct776540330
9308814385
10133873880
1169628478
1238a01388
1321973b1a
1413acbc00
15bb46505
hex7fac0d8

133873880 has 96 divisors (see below), whose sum is σ = 353354400. Its totient is φ = 45513216.

The previous prime is 133873877. The next prime is 133873951. The reversal of 133873880 is 88378331.

It is a hoax number, since the sum of its digits (41) 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 23 ways as a sum of consecutive naturals, for example, 327116 + ... + 327524.

It is an arithmetic number, because the mean of its divisors is an integer number (3680775).

Almost surely, 2133873880 is an apocalyptic number.

133873880 is a gapful number since it is divisible by the number (10) 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 133873880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176677200).

133873880 is an abundant number, since it is smaller than the sum of its proper divisors (219480520).

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

133873880 is a wasteful number, since it uses less digits than its factorization.

133873880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 133873880 is about 11570.3880660935. The cubic root of 133873880 is about 511.5624007548.

The spelling of 133873880 in words is "one hundred thirty-three million, eight hundred seventy-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 167 196 245 280 334 392 409 490 668 818 835 980 1169 1336 1636 1670 1960 2045 2338 2863 3272 3340 4090 4676 5726 5845 6680 8180 8183 9352 11452 11690 14315 16360 16366 20041 22904 23380 28630 32732 40082 40915 46760 57260 65464 68303 80164 81830 100205 114520 136606 160328 163660 200410 273212 327320 341515 400820 478121 546424 683030 801640 956242 1366060 1912484 2390605 2732120 3346847 3824968 4781210 6693694 9562420 13387388 16734235 19124840 26774776 33468470 66936940 133873880