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104058432 = 26356691
BaseRepresentation
bin1100011001111…
…00111001000000
321020210201100000
412030330321000
5203114332212
614154200000
72402324232
oct614747100
9236721300
10104058432
1153813705
122aa23000
1318734b4a
14db6a252
1592071dc
hex633ce40

104058432 has 84 divisors (see below), whose sum is σ = 309357776. Its totient is φ = 34680960.

The previous prime is 104058431. The next prime is 104058491. The reversal of 104058432 is 234850401.

104058432 is a `hidden beast` number, since 10 + 40 + 584 + 32 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104058396 and 104058405.

It is not an unprimeable number, because it can be changed into a prime (104058431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12207 + ... + 18897.

Almost surely, 2104058432 is an apocalyptic number.

104058432 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 104058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154678888).

104058432 is an abundant number, since it is smaller than the sum of its proper divisors (205299344).

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

104058432 is an frugal number, since it uses more digits than its factorization.

104058432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 104058432 is about 10200.9034893974. The cubic root of 104058432 is about 470.3549936116.

The spelling of 104058432 in words is "one hundred four million, fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 6691 7776 13382 15552 20073 26764 40146 53528 60219 80292 107056 120438 160584 180657 214112 240876 321168 361314 428224 481752 541971 642336 722628 963504 1083942 1284672 1445256 1625913 1927008 2167884 2890512 3251826 3854016 4335768 5781024 6503652 8671536 11562048 13007304 17343072 26014608 34686144 52029216 104058432