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133683620 = 225719291733
BaseRepresentation
bin1111111011111…
…01100110100100
3100022112211110012
413331331212210
5233210333440
621133145352
73212202110
oct775754644
9308484405
10133683620
1169508534
123892b258
1321908345
1413a7c740
15bb09e65
hex7f7d9a4

133683620 has 96 divisors (see below), whose sum is σ = 349574400. Its totient is φ = 41900544.

The previous prime is 133683619. The next prime is 133683643. The reversal of 133683620 is 26386331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76274 + ... + 78006.

It is an arithmetic number, because the mean of its divisors is an integer number (3641400).

Almost surely, 2133683620 is an apocalyptic number.

133683620 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 133683620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174787200).

133683620 is an abundant number, since it is smaller than the sum of its proper divisors (215890780).

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

133683620 is a wasteful number, since it uses less digits than its factorization.

133683620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 133683620 is about 11562.1632923947. The cubic root of 133683620 is about 511.3199436829.

The spelling of 133683620 in words is "one hundred thirty-three million, six hundred eighty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 58 70 76 95 116 133 140 145 190 203 266 290 380 406 532 551 580 665 812 1015 1102 1330 1733 2030 2204 2660 2755 3466 3857 4060 5510 6932 7714 8665 11020 12131 15428 17330 19285 24262 32927 34660 38570 48524 50257 60655 65854 77140 100514 121310 131708 164635 201028 230489 242620 251285 329270 351799 460978 502570 658540 703598 921956 954883 1005140 1152445 1407196 1758995 1909766 2304890 3517990 3819532 4609780 4774415 6684181 7035980 9548830 13368362 19097660 26736724 33420905 66841810 133683620