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132649748 = 22711599719
BaseRepresentation
bin1111110100000…
…01001100010100
3100020121022020122
413322001030110
5232424242443
621055051112
73200334650
oct772011424
9306538218
10132649748
11689717a0
1238510a98
132163589a
141388da60
15b9a3968
hex7e81314

132649748 has 48 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 51523680.

The previous prime is 132649739. The next prime is 132649757. The reversal of 132649748 is 847946231.

It is an interprime number because it is at equal distance from previous prime (132649739) and next prime (132649757).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 132649699 and 132649708.

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, 184133 + ... + 184851.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2132649748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132649748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

132649748 is an abundant number, since it is smaller than the sum of its proper divisors (157654252).

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

132649748 is a wasteful number, since it uses less digits than its factorization.

132649748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 132649748 is about 11517.3672338777. The cubic root of 132649748 is about 509.9983954839.

The spelling of 132649748 in words is "one hundred thirty-two million, six hundred forty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 599 719 1198 1438 2396 2876 4193 5033 6589 7909 8386 10066 13178 15818 16772 20132 26356 31636 46123 55363 92246 110726 184492 221452 430681 861362 1722724 3014767 4737491 6029534 9474982 12059068 18949964 33162437 66324874 132649748