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104013632 = 2647151229
BaseRepresentation
bin1100011001100…
…01111101000000
321020201102212202
412030301331000
5203111414012
614153212332
72402046512
oct614617500
9236642782
10104013632
1153792a88
122aa010a8
131871a638
14db57bb2
1591e8cc2
hex6331f40

104013632 has 56 divisors (see below), whose sum is σ = 213116160. Its totient is φ = 50342400.

The previous prime is 104013631. The next prime is 104013653. The reversal of 104013632 is 236310401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104013631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454094 + ... + 454322.

Almost surely, 2104013632 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 104013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106558080).

104013632 is an abundant number, since it is smaller than the sum of its proper divisors (109102528).

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

104013632 is a wasteful number, since it uses less digits than its factorization.

104013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 104013632 is about 10198.7073690738. The cubic root of 104013632 is about 470.2874836942.

It can be divided in two parts, 10 and 4013632, that multiplied together give a triangular number (40136320 = T8959).

The spelling of 104013632 in words is "one hundred four million, thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 151 188 229 302 376 458 604 752 916 1208 1504 1832 2416 3008 3664 4832 7097 7328 9664 10763 14194 14656 21526 28388 34579 43052 56776 69158 86104 113552 138316 172208 227104 276632 344416 454208 553264 688832 1106528 1625213 2213056 3250426 6500852 13001704 26003408 52006816 104013632