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132257840 = 245112131051
BaseRepresentation
bin1111110001000…
…01100000110000
3100012212101122112
413320201200300
5232324222330
621042424452
73164113241
oct770414060
9305771575
10132257840
1168724300
1238362128
13215293a0
14137cacc8
15b927795
hex7e21830

132257840 has 120 divisors (see below), whose sum is σ = 364341264. Its totient is φ = 44352000.

The previous prime is 132257819. The next prime is 132257849. The reversal of 132257840 is 48752231.

It is a junction number, because it is equal to n+sod(n) for n = 132257797 and 132257806.

It is not an unprimeable number, because it can be changed into a prime (132257849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125315 + ... + 126365.

Almost surely, 2132257840 is an apocalyptic number.

132257840 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 132257840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182170632).

132257840 is an abundant number, since it is smaller than the sum of its proper divisors (232083424).

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

132257840 is a wasteful number, since it uses less digits than its factorization.

132257840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 132257840 is about 11500.3408645135. The cubic root of 132257840 is about 509.4956438990.

The spelling of 132257840 in words is "one hundred thirty-two million, two hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 121 130 143 176 208 220 242 260 286 440 484 520 572 605 715 880 968 1040 1051 1144 1210 1430 1573 1936 2102 2288 2420 2860 3146 4204 4840 5255 5720 6292 7865 8408 9680 10510 11440 11561 12584 13663 15730 16816 21020 23122 25168 27326 31460 42040 46244 54652 57805 62920 68315 84080 92488 109304 115610 125840 127171 136630 150293 184976 218608 231220 254342 273260 300586 462440 508684 546520 601172 635855 751465 924880 1017368 1093040 1202344 1271710 1502930 1653223 2034736 2404688 2543420 3005860 3306446 5086840 6011720 6612892 8266115 10173680 12023440 13225784 16532230 26451568 33064460 66128920 132257840