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132462680 = 23572193557
BaseRepresentation
bin1111110010100…
…11100001011000
3100020020210122012
413321103201120
5232402301210
621051045052
73165625400
oct771234130
9306223565
10132462680
1168854199
1238440788
132159b6ac
1413841800
15b968305
hex7e53858

132462680 has 96 divisors (see below), whose sum is σ = 365050800. Its totient is φ = 43013376.

The previous prime is 132462653. The next prime is 132462689. The reversal of 132462680 is 86264231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132462689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35462 + ... + 39018.

Almost surely, 2132462680 is an apocalyptic number.

132462680 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 132462680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182525400).

132462680 is an abundant number, since it is smaller than the sum of its proper divisors (232588120).

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

132462680 is a wasteful number, since it uses less digits than its factorization.

132462680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 132462680 is about 11509.2432418470. The cubic root of 132462680 is about 509.7585426279.

The spelling of 132462680 in words is "one hundred thirty-two million, four hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 2660 3557 3724 4655 5320 7114 7448 9310 14228 17785 18620 24899 28456 35570 37240 49798 67583 71140 99596 124495 135166 142280 174293 199192 248990 270332 337915 348586 473081 497980 540664 675830 697172 871465 946162 995960 1351660 1394344 1742930 1892324 2365405 2703320 3311567 3485860 3784648 4730810 6623134 6971720 9461620 13246268 16557835 18923240 26492536 33115670 66231340 132462680