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132152676 = 223194167211
BaseRepresentation
bin1111110000001…
…11110101100100
3100012200001101120
413320013311210
5232312341201
621040253540
73163164525
oct770076544
9305601346
10132152676
1168662297
12383112b0
13214c0566
14137a084c
15b906536
hex7e07d64

132152676 has 96 divisors (see below), whose sum is σ = 339064320. Its totient is φ = 39916800.

The previous prime is 132152653. The next prime is 132152729. The reversal of 132152676 is 676251231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626211 + ... + 626421.

It is an arithmetic number, because the mean of its divisors is an integer number (3531920).

Almost surely, 2132152676 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 132152676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169532160).

132152676 is an abundant number, since it is smaller than the sum of its proper divisors (206911644).

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

132152676 is a wasteful number, since it uses less digits than its factorization.

132152676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 132152676 is about 11495.7677429565. The cubic root of 132152676 is about 509.3605673254.

The spelling of 132152676 in words is "one hundred thirty-two million, one hundred fifty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 38 41 57 67 76 82 114 123 134 164 201 211 228 246 268 402 422 492 633 779 804 844 1266 1273 1558 2337 2532 2546 2747 3116 3819 4009 4674 5092 5494 7638 8018 8241 8651 9348 10988 12027 14137 15276 16036 16482 17302 24054 25953 28274 32964 34604 42411 48108 51906 52193 56548 84822 103812 104386 156579 164369 169644 208772 268603 313158 328738 493107 537206 579617 626316 657476 805809 986214 1074412 1159234 1611618 1738851 1972428 2318468 3223236 3477702 6955404 11012723 22025446 33038169 44050892 66076338 132152676