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132925716 = 223271179607
BaseRepresentation
bin1111110110001…
…00100100010100
3100021010022210200
413323010210110
5233012110331
621105020500
73202564350
oct773044424
9307108720
10132925716
1169040070
1238624730
1321701391
1413922460
15ba0a5e6
hex7ec4914

132925716 has 144 divisors (see below), whose sum is σ = 424919040. Its totient is φ = 34032960.

The previous prime is 132925697. The next prime is 132925721. The reversal of 132925716 is 617529231.

It is a super-2 number, since 2×1329257162 = 35338491948225312, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218685 + ... + 219291.

Almost surely, 2132925716 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 132925716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212459520).

132925716 is an abundant number, since it is smaller than the sum of its proper divisors (291993324).

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

132925716 is a wasteful number, since it uses less digits than its factorization.

132925716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 709 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 132925716 is about 11529.3415249961. The cubic root of 132925716 is about 510.3518218316.

The spelling of 132925716 in words is "one hundred thirty-two million, nine hundred twenty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 79 84 99 126 132 154 158 198 231 237 252 308 316 396 462 474 553 607 693 711 869 924 948 1106 1214 1386 1422 1659 1738 1821 2212 2428 2607 2772 2844 3318 3476 3642 4249 4977 5214 5463 6083 6636 6677 7284 7821 8498 9954 10428 10926 12166 12747 13354 15642 16996 18249 19908 20031 21852 24332 25494 26708 31284 36498 38241 40062 46739 47953 50988 54747 60093 72996 76482 80124 93478 95906 109494 120186 140217 143859 152964 186956 191812 218988 240372 280434 287718 335671 420651 431577 527483 560868 575436 671342 841302 863154 1007013 1054966 1342684 1582449 1682604 1726308 2014026 2109932 3021039 3164898 3692381 4028052 4747347 6042078 6329796 7384762 9494694 11077143 12084156 14769524 18989388 22154286 33231429 44308572 66462858 132925716