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132789960 = 233253471063
BaseRepresentation
bin1111110101000…
…11011011001000
3100020212102120200
413322203123020
5232443234320
621102052200
73201460512
oct772433310
9306772520
10132789960
1168a58076
123857a060
1321684654
14138c8bb2
15b9d0290
hex7ea36c8

132789960 has 96 divisors (see below), whose sum is σ = 433218240. Its totient is φ = 35275392.

The previous prime is 132789931. The next prime is 132789961. The reversal of 132789960 is 69987231.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (132789961) 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, 124389 + ... + 125451.

It is an arithmetic number, because the mean of its divisors is an integer number (4512690).

Almost surely, 2132789960 is an apocalyptic number.

132789960 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 132789960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216609120).

132789960 is an abundant number, since it is smaller than the sum of its proper divisors (300428280).

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

132789960 is a wasteful number, since it uses less digits than its factorization.

132789960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 132789960 is about 11523.4526076172. The cubic root of 132789960 is about 510.1780232029.

The spelling of 132789960 in words is "one hundred thirty-two million, seven hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 347 360 694 1041 1063 1388 1735 2082 2126 2776 3123 3189 3470 4164 4252 5205 5315 6246 6378 6940 8328 8504 9567 10410 10630 12492 12756 13880 15615 15945 19134 20820 21260 24984 25512 31230 31890 38268 41640 42520 47835 62460 63780 76536 95670 124920 127560 191340 368861 382680 737722 1106583 1475444 1844305 2213166 2950888 3319749 3688610 4426332 5532915 6639498 7377220 8852664 11065830 13278996 14754440 16598745 22131660 26557992 33197490 44263320 66394980 132789960