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133042820 = 2256652141
BaseRepresentation
bin1111110111000…
…01001010000100
3100021100021102212
413323201022010
5233024332240
621111322552
73203562641
oct773411204
9307307385
10133042820
1169110049
1238680458
1321742781
1413952dc8
15ba30165
hex7ee1284

133042820 has 12 divisors (see below), whose sum is σ = 279389964. Its totient is φ = 53217120.

The previous prime is 133042781. The next prime is 133042849. The reversal of 133042820 is 28240331.

It can be written as a sum of positive squares in 2 ways, for example, as 105185536 + 27857284 = 10256^2 + 5278^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3326051 + ... + 3326090.

It is an arithmetic number, because the mean of its divisors is an integer number (23282497).

Almost surely, 2133042820 is an apocalyptic number.

133042820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133042820 is an abundant number, since it is smaller than the sum of its proper divisors (146347144).

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

133042820 is a wasteful number, since it uses less digits than its factorization.

133042820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652150 (or 6652148 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 133042820 is about 11534.4189277137. The cubic root of 133042820 is about 510.5016466107.

The spelling of 133042820 in words is "one hundred thirty-three million, forty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 6652141 13304282 26608564 33260705 66521410 133042820