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104110464 = 273299349
BaseRepresentation
bin1100011010010…
…01100110000000
321020220100201010
412031021212000
5203123013324
614155240520
72402632023
oct615114600
9236810633
10104110464
1153849807
122aa49140
1318752733
14db811ba
159217829
hex6349980

104110464 has 64 divisors (see below), whose sum is σ = 286110000. Its totient is φ = 33503232.

The previous prime is 104110459. The next prime is 104110529. The reversal of 104110464 is 464011401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 104110464.

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, 6462 + ... + 15810.

Almost surely, 2104110464 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 104110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143055000).

104110464 is an abundant number, since it is smaller than the sum of its proper divisors (181999536).

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

104110464 is an equidigital number, since it uses as much as digits as its factorization.

104110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9395 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 104110464 is about 10203.4535329956. The cubic root of 104110464 is about 470.4333772420.

Adding to 104110464 its reverse (464011401), we get a palindrome (568121865).

The spelling of 104110464 in words is "one hundred four million, one hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 9349 11136 18698 28047 37396 56094 74792 112188 149584 224376 271121 299168 448752 542242 598336 813363 897504 1084484 1196672 1626726 1795008 2168968 3253452 3590016 4337936 6506904 8675872 13013808 17351744 26027616 34703488 52055232 104110464