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132960464 = 24713531723
BaseRepresentation
bin1111110110011…
…01000011010000
3100021012002110122
413323031003100
5233014213324
621105445412
73203100560
oct773150320
9307162418
10132960464
116906418a
1238640868
1321714140
1413930da0
15ba15a5e
hex7ecd0d0

132960464 has 80 divisors (see below), whose sum is σ = 323229312. Its totient is φ = 51577344.

The previous prime is 132960463. The next prime is 132960469. The reversal of 132960464 is 464069231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132960463) 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, 76307 + ... + 78029.

Almost surely, 2132960464 is an apocalyptic number.

132960464 is a gapful number since it is divisible by the number (14) 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 132960464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161614656).

132960464 is an abundant number, since it is smaller than the sum of its proper divisors (190268848).

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

132960464 is a wasteful number, since it uses less digits than its factorization.

132960464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 132960464 is about 11530.8483642792. The cubic root of 132960464 is about 510.3962881712.

The spelling of 132960464 in words is "one hundred thirty-two million, nine hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 53 56 91 104 106 112 182 208 212 364 371 424 689 728 742 848 1378 1456 1484 1723 2756 2968 3446 4823 5512 5936 6892 9646 11024 12061 13784 19292 22399 24122 27568 38584 44798 48244 77168 89596 91319 96488 156793 179192 182638 192976 313586 358384 365276 627172 639233 730552 1187147 1254344 1278466 1461104 2374294 2508688 2556932 4748588 5113864 8310029 9497176 10227728 16620058 18994352 33240116 66480232 132960464