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132091002 = 23219794889
BaseRepresentation
bin1111101111110…
…00110001111010
3100012112220210100
413313320301322
5232303403002
621035100230
73162516651
oct767706172
9305486710
10132091002
116861aa1a
12382a1676
132149b474
1413786198
15b8e311c
hex7df8c7a

132091002 has 48 divisors (see below), whose sum is σ = 305136000. Its totient is φ = 41176512.

The previous prime is 132090989. The next prime is 132091039. The reversal of 132091002 is 200190231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24574 + ... + 29462.

It is an arithmetic number, because the mean of its divisors is an integer number (6357000).

Almost surely, 2132091002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132091002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152568000).

132091002 is an abundant number, since it is smaller than the sum of its proper divisors (173044998).

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

132091002 is a wasteful number, since it uses less digits than its factorization.

132091002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 132091002 is about 11493.0849644471. The cubic root of 132091002 is about 509.2813175951.

The spelling of 132091002 in words is "one hundred thirty-two million, ninety-one thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 79 114 158 171 237 342 474 711 1422 1501 3002 4503 4889 9006 9778 13509 14667 27018 29334 44001 88002 92891 185782 278673 386231 557346 772462 836019 1158693 1672038 2317386 3476079 6952158 7338389 14676778 22015167 44030334 66045501 132091002