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104632024 = 2376779353
BaseRepresentation
bin1100011110010…
…00111011011000
321021212212011011
412033020323120
5203241211044
614214343304
72410233430
oct617107330
9237785134
10104632024
1154075652
122b05ab34
13188a5c53
14dc792c0
1592bc134
hex63c8ed8

104632024 has 64 divisors (see below), whose sum is σ = 231091200. Its totient is φ = 43490304.

The previous prime is 104632009. The next prime is 104632027. The reversal of 104632024 is 420236401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 104631986 and 104632004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104632027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296232 + ... + 296584.

It is an arithmetic number, because the mean of its divisors is an integer number (3610800).

Almost surely, 2104632024 is an apocalyptic number.

104632024 is a gapful number since it is divisible by the number (14) 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 104632024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115545600).

104632024 is an abundant number, since it is smaller than the sum of its proper divisors (126459176).

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

104632024 is a wasteful number, since it uses less digits than its factorization.

104632024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 104632024 is about 10228.9796167555. The cubic root of 104632024 is about 471.2176424532.

Adding to 104632024 its reverse (420236401), we get a palindrome (524868425).

It can be divided in two parts, 10463 and 2024, that multiplied together give a palindrome (21177112).

The spelling of 104632024 in words is "one hundred four million, six hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 67 79 134 158 268 316 353 469 536 553 632 706 938 1106 1412 1876 2212 2471 2824 3752 4424 4942 5293 9884 10586 19768 21172 23651 27887 37051 42344 47302 55774 74102 94604 111548 148204 165557 189208 195209 223096 296408 331114 390418 662228 780836 1324456 1561672 1868429 3736858 7473716 13079003 14947432 26158006 52316012 104632024