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132073968 = 24313211657
BaseRepresentation
bin1111101111101…
…00100111110000
3100012112001102110
413313310213300
5232302331333
621034445320
73162416205
oct767644760
9305461373
10132073968
1168609144
1238293840
13214937a0
141377dcac
15b8dd063
hex7df49f0

132073968 has 40 divisors (see below), whose sum is σ = 367438288. Its totient is φ = 40637952.

The previous prime is 132073961. The next prime is 132073993. The reversal of 132073968 is 869370231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132073961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 105205 + ... + 106452.

Almost surely, 2132073968 is an apocalyptic number.

It is an amenable number.

132073968 is an abundant number, since it is smaller than the sum of its proper divisors (235364320).

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

132073968 is a wasteful number, since it uses less digits than its factorization.

132073968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211681 (or 211675 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 132073968 is about 11492.3438862575. The cubic root of 132073968 is about 509.2594249333.

The spelling of 132073968 in words is "one hundred thirty-two million, seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 211657 423314 634971 846628 1269942 1693256 2539884 2751541 3386512 5079768 5503082 8254623 10159536 11006164 16509246 22012328 33018492 44024656 66036984 132073968