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104054784 = 21432973
BaseRepresentation
bin1100011001111…
…00000000000000
321020210112022220
412030330000000
5203114223114
614154131040
72402310501
oct614740000
9236715286
10104054784
1153810999
122aa20a80
13187332a2
14db68ba8
1592060a9
hex633c000

104054784 has 120 divisors (see below), whose sum is σ = 290970960. Its totient is φ = 33030144.

The previous prime is 104054759. The next prime is 104054833. The reversal of 104054784 is 487450401.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1425372 + ... + 1425444.

It is an arithmetic number, because the mean of its divisors is an integer number (2424758).

Almost surely, 2104054784 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 104054784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145485480).

104054784 is an abundant number, since it is smaller than the sum of its proper divisors (186916176).

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

104054784 is an frugal number, since it uses more digits than its factorization.

104054784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 104054784 is about 10200.7246801392. The cubic root of 104054784 is about 470.3494971002.

The spelling of 104054784 in words is "one hundred four million, fifty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 73 87 96 116 128 146 174 192 219 232 256 292 348 384 438 464 512 584 696 768 876 928 1024 1168 1392 1536 1752 1856 2048 2117 2336 2784 3072 3504 3712 4096 4234 4672 5568 6144 6351 7008 7424 8192 8468 9344 11136 12288 12702 14016 14848 16384 16936 18688 22272 24576 25404 28032 29696 33872 37376 44544 49152 50808 56064 59392 67744 74752 89088 101616 112128 118784 135488 149504 178176 203232 224256 237568 270976 299008 356352 406464 448512 475136 541952 598016 712704 812928 897024 1083904 1196032 1425408 1625856 1794048 2167808 3251712 3588096 4335616 6503424 8671232 13006848 17342464 26013696 34684928 52027392 104054784