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104893184 = 28111932
BaseRepresentation
bin1100100000010…
…00101100000000
321022101010101202
412100020230000
5203323040214
614224120332
72412402014
oct620105400
9238333352
10104893184
1154233890
122b1660a8
1318967a96
14dd06544
15931e6de
hex6408b00

104893184 has 54 divisors (see below), whose sum is σ = 229600476. Its totient is φ = 47431680.

The previous prime is 104893183. The next prime is 104893219. The reversal of 104893184 is 481398401.

It is a super-2 number, since 2×1048931842 = 22005160099315712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104893183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 543392 + ... + 543584.

Almost surely, 2104893184 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 104893184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114800238).

104893184 is an abundant number, since it is smaller than the sum of its proper divisors (124707292).

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

104893184 is an frugal number, since it uses more digits than its factorization.

104893184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 104893184 is about 10241.7373526175. The cubic root of 104893184 is about 471.6093674992.

The spelling of 104893184 in words is "one hundred four million, eight hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 193 256 352 386 704 772 1408 1544 2123 2816 3088 4246 6176 8492 12352 16984 24704 33968 37249 49408 67936 74498 135872 148996 271744 297992 409739 543488 595984 819478 1191968 1638956 2383936 3277912 4767872 6555824 9535744 13111648 26223296 52446592 104893184