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132297900 = 22352773863
BaseRepresentation
bin1111110001010…
…11010010101100
3100012221102121020
413320223102230
5232332013100
621043334140
73164341110
oct770532254
9305842536
10132297900
1168751409
1238381350
13215416a7
14137db740
15b9345a0
hex7e2b4ac

132297900 has 144 divisors (see below), whose sum is σ = 443971584. Its totient is φ = 29790720.

The previous prime is 132297887. The next prime is 132297917. The reversal of 132297900 is 9792231.

132297900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152869 + ... + 153731.

It is an arithmetic number, because the mean of its divisors is an integer number (3083136).

Almost surely, 2132297900 is an apocalyptic number.

132297900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132297900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221985792).

132297900 is an abundant number, since it is smaller than the sum of its proper divisors (311673684).

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

132297900 is a wasteful number, since it uses less digits than its factorization.

132297900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 132297900 is about 11502.0824201533. The cubic root of 132297900 is about 509.5470796277.

The spelling of 132297900 in words is "one hundred thirty-two million, two hundred ninety-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 73 75 84 100 105 140 146 150 175 210 219 292 300 350 365 420 438 511 525 700 730 863 876 1022 1050 1095 1460 1533 1726 1825 2044 2100 2190 2555 2589 3066 3452 3650 4315 4380 5110 5178 5475 6041 6132 7300 7665 8630 10220 10356 10950 12082 12775 12945 15330 17260 18123 21575 21900 24164 25550 25890 30205 30660 36246 38325 43150 51100 51780 60410 62999 64725 72492 76650 86300 90615 120820 125998 129450 151025 153300 181230 188997 251996 258900 302050 314995 362460 377994 440993 453075 604100 629990 755988 881986 906150 944985 1259980 1322979 1574975 1763972 1812300 1889970 2204965 2645958 3149950 3779940 4409930 4724925 5291916 6299900 6614895 8819860 9449850 11024825 13229790 18899700 22049650 26459580 33074475 44099300 66148950 132297900