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132323840 = 2951137127
BaseRepresentation
bin1111110001100…
…01101000000000
3100012222202011222
413320301220000
5232333330330
621044054212
73164506535
oct770615000
9305882158
10132323840
1168769950
1238394368
132155043c
1413806d8c
15b93c0e5
hex7e31a00

132323840 has 160 divisors (see below), whose sum is σ = 358262784. Its totient is φ = 46448640.

The previous prime is 132323833. The next prime is 132323879. The reversal of 132323840 is 48323231.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1041857 + ... + 1041983.

Almost surely, 2132323840 is an apocalyptic number.

132323840 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 132323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179131392).

132323840 is an abundant number, since it is smaller than the sum of its proper divisors (225938944).

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

132323840 is a wasteful number, since it uses less digits than its factorization.

132323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 132323840 is about 11503.2099867820. The cubic root of 132323840 is about 509.5803802003.

The spelling of 132323840 in words is "one hundred thirty-two million, three hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 127 128 148 160 176 185 220 254 256 296 320 352 370 407 440 508 512 592 635 640 704 740 814 880 1016 1184 1270 1280 1397 1408 1480 1628 1760 2032 2035 2368 2540 2560 2794 2816 2960 3256 3520 4064 4070 4699 4736 5080 5588 5632 5920 6512 6985 7040 8128 8140 9398 9472 10160 11176 11840 13024 13970 14080 16256 16280 18796 18944 20320 22352 23495 23680 26048 27940 28160 32512 32560 37592 40640 44704 46990 47360 51689 52096 55880 65024 65120 75184 81280 89408 93980 94720 103378 104192 111760 130240 150368 162560 178816 187960 206756 208384 223520 258445 260480 300736 325120 357632 375920 413512 447040 516890 520960 601472 715264 751840 827024 894080 1033780 1041920 1202944 1503680 1654048 1788160 2067560 2405888 3007360 3308096 3576320 4135120 6014720 6616192 8270240 12029440 13232384 16540480 26464768 33080960 66161920 132323840