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132936048 = 24327433067
BaseRepresentation
bin1111110110001…
…11000101110000
3100021010211222100
413323013011300
5233012423143
621105140400
73202636440
oct773070560
9307124870
10132936048
1169047903
123862a700
1321705cab
1413926120
15ba0d6d3
hex7ec7170

132936048 has 120 divisors (see below), whose sum is σ = 435214208. Its totient is φ = 37086336.

The previous prime is 132935983. The next prime is 132936101. The reversal of 132936048 is 840639231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 41811 + ... + 44877.

Almost surely, 2132936048 is an apocalyptic number.

132936048 is a gapful number since it is divisible by the number (18) 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 132936048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217607104).

132936048 is an abundant number, since it is smaller than the sum of its proper divisors (302278160).

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

132936048 is a wasteful number, since it uses less digits than its factorization.

132936048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 132936048 is about 11529.7895904479. The cubic root of 132936048 is about 510.3650443004.

The spelling of 132936048 in words is "one hundred thirty-two million, nine hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2709 3067 3096 3612 4816 5418 6134 6192 7224 9201 10836 12268 14448 18402 21469 21672 24536 27603 36804 42938 43344 49072 55206 64407 73608 85876 110412 128814 131881 147216 171752 193221 220824 257628 263762 343504 386442 395643 441648 515256 527524 772884 791286 923167 1030512 1055048 1186929 1545768 1582572 1846334 2110096 2373858 2769501 3091536 3165144 3692668 4747716 5539002 6330288 7385336 8308503 9495432 11078004 14770672 16617006 18990864 22156008 33234012 44312016 66468024 132936048