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132217280 = 2651337859
BaseRepresentation
bin1111110000101…
…11100111000000
3100012210100000022
413320113213000
5232321423110
621041513012
73163554056
oct770274700
9305710008
10132217280
11686a6888
1238342768
1321513aa0
14137ba1d6
15b91a755
hex7e179c0

132217280 has 112 divisors (see below), whose sum is σ = 348630240. Its totient is φ = 47443968.

The previous prime is 132217273. The next prime is 132217291. The reversal of 132217280 is 82712231.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153491 + ... + 154349.

It is an arithmetic number, because the mean of its divisors is an integer number (3112770).

Almost surely, 2132217280 is an apocalyptic number.

132217280 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 132217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174315120).

132217280 is an abundant number, since it is smaller than the sum of its proper divisors (216412960).

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

132217280 is a wasteful number, since it uses less digits than its factorization.

132217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 132217280 is about 11498.5773033015. The cubic root of 132217280 is about 509.4435556040.

The spelling of 132217280 in words is "one hundred thirty-two million, two hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 64 65 74 80 104 130 148 160 185 208 260 296 320 370 416 481 520 592 740 832 859 962 1040 1184 1480 1718 1924 2080 2368 2405 2960 3436 3848 4160 4295 4810 5920 6872 7696 8590 9620 11167 11840 13744 15392 17180 19240 22334 27488 30784 31783 34360 38480 44668 54976 55835 63566 68720 76960 89336 111670 127132 137440 153920 158915 178672 223340 254264 274880 317830 357344 413179 446680 508528 635660 714688 826358 893360 1017056 1271320 1652716 1786720 2034112 2065895 2542640 3305432 3573440 4131790 5085280 6610864 8263580 10170560 13221728 16527160 26443456 33054320 66108640 132217280