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104436024 = 233711311823
BaseRepresentation
bin1100011100110…
…01000100111000
321021111220021220
412032121010320
5203213423044
614210232040
72405456130
oct616310470
9237456256
10104436024
1153a51370
122ab85620
1318837984
14dc27ac0
15927e019
hex6399138

104436024 has 128 divisors (see below), whose sum is σ = 336199680. Its totient is φ = 26236800.

The previous prime is 104436019. The next prime is 104436043. The reversal of 104436024 is 420634401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 104435985 and 104436003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56377 + ... + 58199.

It is an arithmetic number, because the mean of its divisors is an integer number (2626560).

Almost surely, 2104436024 is an apocalyptic number.

104436024 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 104436024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168099840).

104436024 is an abundant number, since it is smaller than the sum of its proper divisors (231763656).

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

104436024 is a wasteful number, since it uses less digits than its factorization.

104436024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 104436024 is about 10219.3945026112. The cubic root of 104436024 is about 470.9232253006.

The spelling of 104436024 in words is "one hundred four million, four hundred thirty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 62 66 77 84 88 93 124 132 154 168 186 217 231 248 264 308 341 372 434 462 616 651 682 744 868 924 1023 1302 1364 1736 1823 1848 2046 2387 2604 2728 3646 4092 4774 5208 5469 7161 7292 8184 9548 10938 12761 14322 14584 19096 20053 21876 25522 28644 38283 40106 43752 51044 56513 57288 60159 76566 80212 102088 113026 120318 140371 153132 160424 169539 226052 240636 280742 306264 339078 395591 421113 452104 481272 561484 621643 678156 791182 842226 1122968 1186773 1243286 1356312 1582364 1684452 1864929 2373546 2486572 3164728 3368904 3729858 4351501 4747092 4973144 7459716 8703002 9494184 13054503 14919432 17406004 26109006 34812008 52218012 104436024