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132216640 = 2654759149
BaseRepresentation
bin1111110000101…
…11011101000000
3100012210022010121
413320113131000
5232321413030
621041510024
73163552153
oct770273500
9305708117
10132216640
11686a6356
1238342314
13215136ca
14137b9c9a
15b91a47a
hex7e17740

132216640 has 112 divisors (see below), whose sum is σ = 329184000. Its totient is φ = 50542592.

The previous prime is 132216629. The next prime is 132216641. The reversal of 132216640 is 46612231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132216641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887286 + ... + 887434.

Almost surely, 2132216640 is an apocalyptic number.

132216640 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 132216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).

132216640 is an abundant number, since it is smaller than the sum of its proper divisors (196967360).

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

132216640 is a wasteful number, since it uses less digits than its factorization.

132216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 132216640 is about 11498.5494737380. The cubic root of 132216640 is about 509.4427336126.

Adding to 132216640 its reverse (46612231), we get a palindrome (178828871).

The spelling of 132216640 in words is "one hundred thirty-two million, two hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 59 64 80 94 118 149 160 188 235 236 295 298 320 376 470 472 590 596 745 752 940 944 1180 1192 1490 1504 1880 1888 2360 2384 2773 2980 3008 3760 3776 4720 4768 5546 5960 7003 7520 8791 9440 9536 11092 11920 13865 14006 15040 17582 18880 22184 23840 27730 28012 35015 35164 43955 44368 47680 55460 56024 70030 70328 87910 88736 110920 112048 140060 140656 175820 177472 221840 224096 280120 281312 351640 413177 443680 448192 560240 562624 703280 826354 887360 1120480 1406560 1652708 2065885 2240960 2813120 3305416 4131770 6610832 8263540 13221664 16527080 26443328 33054160 66108320 132216640