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132646632 = 23359113829
BaseRepresentation
bin1111110100000…
…00011011101000
3100020121010222020
413322000123220
5232424143012
621055024440
73200322606
oct772003350
9306533866
10132646632
116896a418
123850b120
1321634341
141388c876
15b9a2a8c
hex7e806e8

132646632 has 64 divisors (see below), whose sum is σ = 340632000. Its totient is φ = 43029504.

The previous prime is 132646607. The next prime is 132646639. The reversal of 132646632 is 236646231.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132646593 and 132646602.

It is not an unprimeable number, because it can be changed into a prime (132646639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159594 + ... + 160422.

It is an arithmetic number, because the mean of its divisors is an integer number (5322375).

Almost surely, 2132646632 is an apocalyptic number.

132646632 is a gapful number since it is divisible by the number (12) 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 132646632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170316000).

132646632 is an abundant number, since it is smaller than the sum of its proper divisors (207985368).

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

132646632 is a wasteful number, since it uses less digits than its factorization.

132646632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1006 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 132646632 is about 11517.2319591124. The cubic root of 132646632 is about 509.9944020916.

The spelling of 132646632 in words is "one hundred thirty-two million, six hundred forty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 113 118 177 226 236 339 354 452 472 678 708 829 904 1356 1416 1658 2487 2712 3316 4974 6632 6667 9948 13334 19896 20001 26668 40002 48911 53336 80004 93677 97822 146733 160008 187354 195644 281031 293466 374708 391288 562062 586932 749416 1124124 1173864 2248248 5526943 11053886 16580829 22107772 33161658 44215544 66323316 132646632