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130361632 = 2541671483
BaseRepresentation
bin1111100010100…
…10100100100000
3100002022001112121
413301102210200
5231333033012
620534034024
73142025032
oct761224440
9302261477
10130361632
1167649695
12377a8914
132101427b
1413455c52
15b6a0a07
hex7c52920

130361632 has 48 divisors (see below), whose sum is σ = 267013152. Its totient is φ = 62599680.

The previous prime is 130361573. The next prime is 130361687. The reversal of 130361632 is 236163031.

It is a junction number, because it is equal to n+sod(n) for n = 130361597 and 130361606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87163 + ... + 88645.

It is an arithmetic number, because the mean of its divisors is an integer number (5562774).

Almost surely, 2130361632 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 130361632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133506576).

130361632 is an abundant number, since it is smaller than the sum of its proper divisors (136651520).

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

130361632 is a wasteful number, since it uses less digits than its factorization.

130361632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 130361632 is about 11417.6018497756. The cubic root of 130361632 is about 507.0489988914.

The spelling of 130361632 in words is "one hundred thirty million, three hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 67 82 134 164 268 328 536 656 1072 1312 1483 2144 2747 2966 5494 5932 10988 11864 21976 23728 43952 47456 60803 87904 99361 121606 198722 243212 397444 486424 794888 972848 1589776 1945696 3179552 4073801 8147602 16295204 32590408 65180816 130361632