Search a number
-
+
104294652 = 223711412753
BaseRepresentation
bin1100011011101…
…10100011111100
321021020201100220
412031312203330
5203144412102
614203221340
72404330020
oct615664374
9237221326
10104294652
1153965130
122ab17850
13187b8517
14dbcc380
1592521bc
hex63768fc

104294652 has 96 divisors (see below), whose sum is σ = 310915584. Its totient is φ = 26419200.

The previous prime is 104294639. The next prime is 104294653. The reversal of 104294652 is 256492401.

It is a super-2 number, since 2×1042946522 = 21754748871602208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104294653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36508 + ... + 39260.

It is an arithmetic number, because the mean of its divisors is an integer number (3238704).

Almost surely, 2104294652 is an apocalyptic number.

104294652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104294652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155457792).

104294652 is an abundant number, since it is smaller than the sum of its proper divisors (206620932).

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

104294652 is a wasteful number, since it uses less digits than its factorization.

104294652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 104294652 is about 10212.4753120877. The cubic root of 104294652 is about 470.7106376683.

The spelling of 104294652 in words is "one hundred four million, two hundred ninety-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 66 77 82 84 123 132 154 164 231 246 287 308 451 462 492 574 861 902 924 1148 1353 1722 1804 2706 2753 3157 3444 5412 5506 6314 8259 9471 11012 12628 16518 18942 19271 30283 33036 37884 38542 57813 60566 77084 90849 112873 115626 121132 181698 211981 225746 231252 338619 363396 423962 451492 635943 677238 790111 847924 1241603 1271886 1354476 1580222 2370333 2483206 2543772 3160444 3724809 4740666 4966412 7449618 8691221 9481332 14899236 17382442 26073663 34764884 52147326 104294652