Search a number
-
+
104003664 = 2433795717
BaseRepresentation
bin1100011001011…
…11100001010000
321020200221012120
412030233201100
5203111104124
614153054240
72402005452
oct614574120
9236627176
10104003664
1153786546
122a9b7380
1318715c3b
14db542d2
1591e5d79
hex632f850

104003664 has 40 divisors (see below), whose sum is σ = 269432160. Its totient is φ = 34570368.

The previous prime is 104003629. The next prime is 104003681. The reversal of 104003664 is 466300401.

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, 15334 + ... + 21050.

It is an arithmetic number, because the mean of its divisors is an integer number (6735804).

Almost surely, 2104003664 is an apocalyptic number.

It is an amenable number.

104003664 is an abundant number, since it is smaller than the sum of its proper divisors (165428496).

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

104003664 is a wasteful number, since it uses less digits than its factorization.

104003664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6107 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 104003664 is about 10198.2186679831. The cubic root of 104003664 is about 470.2724601013.

The spelling of 104003664 in words is "one hundred four million, three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 379 758 1137 1516 2274 3032 4548 5717 6064 9096 11434 17151 18192 22868 34302 45736 68604 91472 137208 274416 2166743 4333486 6500229 8666972 13000458 17333944 26000916 34667888 52001832 104003664