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132075580 = 22573131481
BaseRepresentation
bin1111101111101…
…01000000111100
3100012112010122011
413313311000330
5232302404310
621034501004
73162424000
oct767650074
9305463564
10132075580
116860a37a
1238294764
1321494440
1413780700
15b8dd78a
hex7df503c

132075580 has 96 divisors (see below), whose sum is σ = 348566400. Its totient is φ = 41771520.

The previous prime is 132075551. The next prime is 132075583. The reversal of 132075580 is 85570231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132075583) 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, 88440 + ... + 89920.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 2132075580 is an apocalyptic number.

132075580 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 132075580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

132075580 is an abundant number, since it is smaller than the sum of its proper divisors (216490820).

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

132075580 is a wasteful number, since it uses less digits than its factorization.

132075580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 132075580 is about 11492.4140196914. The cubic root of 132075580 is about 509.2614968098.

The spelling of 132075580 in words is "one hundred thirty-two million, seventy-five thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 343 364 455 490 637 686 910 980 1274 1372 1481 1715 1820 2548 2962 3185 3430 4459 5924 6370 6860 7405 8918 10367 12740 14810 17836 19253 20734 22295 29620 38506 41468 44590 51835 72569 77012 89180 96265 103670 134771 145138 192530 207340 269542 290276 362845 385060 507983 539084 673855 725690 943397 1015966 1347710 1451380 1886794 2031932 2539915 2695420 3773588 4716985 5079830 6603779 9433970 10159660 13207558 18867940 26415116 33018895 66037790 132075580