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132374007 = 36192503
BaseRepresentation
bin1111110001111…
…01110111110111
3100020002022000000
413320331313313
5232341432012
621045122343
73165106023
oct770756767
9306068000
10132374007
11687a3607
12383b93b3
132156a21c
141381b383
15b94bddc
hex7e3ddf7

132374007 has 42 divisors (see below), whose sum is σ = 209882232. Its totient is φ = 83438424.

The previous prime is 132374003. The next prime is 132374017. The reversal of 132374007 is 700473231.

It is not a de Polignac number, because 132374007 - 22 = 132374003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132374003) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 262918 + ... + 263420.

It is an arithmetic number, because the mean of its divisors is an integer number (4997196).

Almost surely, 2132374007 is an apocalyptic number.

132374007 is a deficient number, since it is larger than the sum of its proper divisors (77508225).

132374007 is an frugal number, since it uses more digits than its factorization.

132374007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 132374007 is about 11505.3903453990. The cubic root of 132374007 is about 509.6447699302.

The spelling of 132374007 in words is "one hundred thirty-two million, three hundred seventy-four thousand, seven".

Divisors: 1 3 9 19 27 57 81 171 243 361 503 513 729 1083 1509 1539 3249 4527 4617 9557 9747 13581 13851 28671 29241 40743 86013 87723 122229 181583 258039 263169 366687 544749 774117 1634247 2322351 4902741 6967053 14708223 44124669 132374007