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132295104 = 2632312239
BaseRepresentation
bin1111110001010…
…10100111000000
3100012221021202200
413320222213000
5232331420404
621043313200
73164330004
oct770524700
9305837680
10132295104
116874a2a7
123837b800
1321540336
14137da704
15b933839
hex7e2a9c0

132295104 has 126 divisors (see below), whose sum is σ = 393466320. Its totient is φ = 42497280.

The previous prime is 132295063. The next prime is 132295117. The reversal of 132295104 is 401592231.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 553417 + ... + 553655.

Almost surely, 2132295104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196733160).

132295104 is an abundant number, since it is smaller than the sum of its proper divisors (261171216).

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

132295104 is a wasteful number, since it uses less digits than its factorization.

132295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 132295104 is about 11501.9608763028. The cubic root of 132295104 is about 509.5434899923.

The spelling of 132295104 in words is "one hundred thirty-two million, two hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 239 248 279 288 372 478 496 558 576 717 744 956 961 992 1116 1434 1488 1912 1922 1984 2151 2232 2868 2883 2976 3824 3844 4302 4464 5736 5766 5952 7409 7648 7688 8604 8649 8928 11472 11532 14818 15296 15376 17208 17298 17856 22227 22944 23064 29636 30752 34416 34596 44454 45888 46128 59272 61504 66681 68832 69192 88908 92256 118544 133362 137664 138384 177816 184512 229679 237088 266724 276768 355632 459358 474176 533448 553536 689037 711264 918716 1066896 1378074 1422528 1837432 2067111 2133792 2756148 3674864 4134222 4267584 5512296 7349728 8268444 11024592 14699456 16536888 22049184 33073776 44098368 66147552 132295104