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104035032 = 233219113673
BaseRepresentation
bin1100011001101…
…11001011011000
321020202112020100
412030313023120
5203113110112
614153455400
72402166063
oct614671330
9236675210
10104035032
11537a8072
122aa11560
13187272ba
14db618da
1592002dc
hex63372d8

104035032 has 96 divisors (see below), whose sum is σ = 299660400. Its totient is φ = 32514048.

The previous prime is 104035031. The next prime is 104035067. The reversal of 104035032 is 230530401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104034996 and 104035014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104035031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154248 + ... + 154920.

Almost surely, 2104035032 is an apocalyptic number.

104035032 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 104035032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149830200).

104035032 is an abundant number, since it is smaller than the sum of its proper divisors (195625368).

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

104035032 is a wasteful number, since it uses less digits than its factorization.

104035032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 104035032 is about 10199.7564676810. The cubic root of 104035032 is about 470.3197341529.

Adding to 104035032 its reverse (230530401), we get a palindrome (334565433).

The spelling of 104035032 in words is "one hundred four million, thirty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 113 114 152 171 226 228 339 342 452 456 673 678 684 904 1017 1346 1356 1368 2019 2034 2147 2692 2712 4038 4068 4294 5384 6057 6441 8076 8136 8588 12114 12787 12882 16152 17176 19323 24228 25574 25764 38361 38646 48456 51148 51528 76049 76722 77292 102296 115083 152098 153444 154584 228147 230166 304196 306888 456294 460332 608392 684441 912588 920664 1368882 1444931 1825176 2737764 2889862 4334793 5475528 5779724 8669586 11559448 13004379 17339172 26008758 34678344 52017516 104035032