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132422520 = 233517139467
BaseRepresentation
bin1111110010010…
…01101101111000
3100020011202112210
413321021231320
5232400010040
621050135120
73165400326
oct771115570
9306152483
10132422520
1168826aaa
12384214a0
1321586329
1413830d16
15b95b480
hex7e49b78

132422520 has 128 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 32925696.

The previous prime is 132422509. The next prime is 132422527. The reversal of 132422520 is 25224231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132422527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283327 + ... + 283793.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2132422520 is an apocalyptic number.

132422520 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 132422520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

132422520 is an abundant number, since it is smaller than the sum of its proper divisors (292147080).

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

132422520 is a wasteful number, since it uses less digits than its factorization.

132422520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 132422520 is about 11507.4984249401. The cubic root of 132422520 is about 509.7070212678.

Adding to 132422520 its reverse (25224231), we get a palindrome (157646751).

The spelling of 132422520 in words is "one hundred thirty-two million, four hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 139 170 204 255 278 340 408 417 467 510 556 680 695 834 934 1020 1112 1390 1401 1668 1868 2040 2085 2335 2363 2780 2802 3336 3736 4170 4670 4726 5560 5604 7005 7089 7939 8340 9340 9452 11208 11815 14010 14178 15878 16680 18680 18904 23630 23817 28020 28356 31756 35445 39695 47260 47634 56040 56712 63512 64913 70890 79390 94520 95268 119085 129826 141780 158780 190536 194739 238170 259652 283560 317560 324565 389478 476340 519304 649130 778956 952680 973695 1103521 1298260 1557912 1947390 2207042 2596520 3310563 3894780 4414084 5517605 6621126 7789560 8828168 11035210 13242252 16552815 22070420 26484504 33105630 44140840 66211260 132422520