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120132004 = 22157233821
BaseRepresentation
bin1110010100100…
…01000110100100
322101001100010111
413022101012210
5221223211004
615530502404
72656051036
oct712210644
9271040114
10120132004
11618a1a53
1234294a04
131bb72035
1411d51c56
15a82ea04
hex72911a4

120132004 has 24 divisors (see below), whose sum is σ = 212736888. Its totient is φ = 59354880.

The previous prime is 120131989. The next prime is 120132017. The reversal of 120132004 is 400231021.

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 120121600 = 102^2 + 10960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145914 + ... + 146734.

It is an arithmetic number, because the mean of its divisors is an integer number (8864037).

Almost surely, 2120132004 is an apocalyptic number.

It is an amenable number.

120132004 is a deficient number, since it is larger than the sum of its proper divisors (92604884).

120132004 is a wasteful number, since it uses less digits than its factorization.

120132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 120132004 is about 10960.4746247596. The cubic root of 120132004 is about 493.4232096215.

Adding to 120132004 its reverse (400231021), we get a palindrome (520363025).

The spelling of 120132004 in words is "one hundred twenty million, one hundred thirty-two thousand, four".

Divisors: 1 2 4 157 233 314 466 628 821 932 1642 3284 36581 73162 128897 146324 191293 257794 382586 515588 765172 30033001 60066002 120132004