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133633740 = 22352976801
BaseRepresentation
bin1111111011100…
…01011011001100
3100022110022000210
413331301123030
5233202234430
621132122420
73211603512
oct775613314
9308408023
10133633740
1169484009
1238906410
13218bb726
1413a684b2
15baea2b0
hex7f716cc

133633740 has 48 divisors (see below), whose sum is σ = 387082080. Its totient is φ = 34406400.

The previous prime is 133633739. The next prime is 133633763. The reversal of 133633740 is 47336331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133633698 and 133633707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36661 + ... + 40140.

It is an arithmetic number, because the mean of its divisors is an integer number (8064210).

Almost surely, 2133633740 is an apocalyptic number.

133633740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133633740 is an abundant number, since it is smaller than the sum of its proper divisors (253448340).

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

133633740 is a wasteful number, since it uses less digits than its factorization.

133633740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76842 (or 76840 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 30.

The square root of 133633740 is about 11560.0060553617. The cubic root of 133633740 is about 511.2563412472.

The spelling of 133633740 in words is "one hundred thirty-three million, six hundred thirty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 76801 153602 230403 307204 384005 460806 768010 921612 1152015 1536020 2227229 2304030 4454458 4608060 6681687 8908916 11136145 13363374 22272290 26726748 33408435 44544580 66816870 133633740