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5905104 = 243432861
BaseRepresentation
bin10110100001101011010000
3102010000021120
4112201223100
53002430404
6330322240
7101123022
oct26415320
912100246
105905104
113373657
121b89380
1312b9a5a
14ada012
157b99d9
hex5a1ad0

5905104 has 40 divisors (see below), whose sum is σ = 15615072. Its totient is φ = 1921920.

The previous prime is 5905099. The next prime is 5905117. The reversal of 5905104 is 4015095.

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

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, 634 + ... + 3494.

Almost surely, 25905104 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 5905104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807536).

5905104 is an abundant number, since it is smaller than the sum of its proper divisors (9709968).

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

5905104 is a wasteful number, since it uses less digits than its factorization.

5905104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5905104 is about 2430.0419749461. The cubic root of 5905104 is about 180.7489779541.

The spelling of 5905104 in words is "five million, nine hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 2861 5722 8583 11444 17166 22888 34332 45776 68664 123023 137328 246046 369069 492092 738138 984184 1476276 1968368 2952552 5905104