Search a number
-
+
132159744 = 2832193019
BaseRepresentation
bin1111110000010…
…01100100000000
3100012200102002100
413320021210000
5232313102434
621040350400
73163224243
oct770114400
9305612070
10132159744
1168667632
1238315400
13214c3842
14137a325a
15b908699
hex7e09900

132159744 has 108 divisors (see below), whose sum is σ = 401237200. Its totient is φ = 41720832.

The previous prime is 132159739. The next prime is 132159779. The reversal of 132159744 is 447951231.

132159744 is a `hidden beast` number, since 1 + 3 + 21 + 597 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132159699 and 132159708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42267 + ... + 45285.

Almost surely, 2132159744 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 132159744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200618600).

132159744 is an abundant number, since it is smaller than the sum of its proper divisors (269077456).

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

132159744 is a wasteful number, since it uses less digits than its factorization.

132159744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3043 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 132159744 is about 11496.0751563305. The cubic root of 132159744 is about 509.3696479747.

The spelling of 132159744 in words is "one hundred thirty-two million, one hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3019 3648 4864 5472 6038 7296 9057 10944 12076 14592 18114 21888 24152 27171 36228 43776 48304 54342 57361 72456 96608 108684 114722 144912 172083 193216 217368 229444 289824 344166 386432 434736 458888 516249 579648 688332 772864 869472 917776 1032498 1159296 1376664 1738944 1835552 2064996 2318592 2753328 3477888 3671104 4129992 5506656 6955776 7342208 8259984 11013312 14684416 16519968 22026624 33039936 44053248 66079872 132159744