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133706556 = 223217920749
BaseRepresentation
bin1111111100000…
…11001100111100
3100022120222220200
413332003030330
5233212102211
621133443500
73212326014
oct776031474
9308528820
10133706556
1169523795
1238940590
1321915909
1413a86c44
15bb11b56
hex7f8333c

133706556 has 36 divisors (see below), whose sum is σ = 339885000. Its totient is φ = 44317728.

The previous prime is 133706537. The next prime is 133706557. The reversal of 133706556 is 655607331.

It is a happy number.

133706556 is a `hidden beast` number, since 1 + 33 + 70 + 6 + 556 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1337065562 = 35754886234762272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 133706556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133706557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3931 + ... + 16818.

It is an arithmetic number, because the mean of its divisors is an integer number (9441250).

Almost surely, 2133706556 is an apocalyptic number.

It is an amenable number.

133706556 is an abundant number, since it is smaller than the sum of its proper divisors (206178444).

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

133706556 is a wasteful number, since it uses less digits than its factorization.

133706556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20938 (or 20933 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 133706556 is about 11563.1551057659. The cubic root of 133706556 is about 511.3491842725.

The spelling of 133706556 in words is "one hundred thirty-three million, seven hundred six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1611 2148 3222 6444 20749 41498 62247 82996 124494 186741 248988 373482 746964 3714071 7428142 11142213 14856284 22284426 33426639 44568852 66853278 133706556