Search a number
-
+
104813160 = 233517191269
BaseRepresentation
bin1100011111101…
…01001001101000
321022020001121220
412033311021220
5203313010120
614222302040
72411616504
oct617651150
9238201556
10104813160
1154189751
122b127920
131893a52a
14dcc5304
159305b40
hex63f5268

104813160 has 128 divisors (see below), whose sum is σ = 335923200. Its totient is φ = 26071040.

The previous prime is 104813141. The next prime is 104813167. The reversal of 104813160 is 61318401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104813160.

It is not an unprimeable number, because it can be changed into a prime (104813167) 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, 389506 + ... + 389774.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2104813160 is an apocalyptic number.

104813160 is a gapful number since it is divisible by the number (10) 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 104813160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

104813160 is an abundant number, since it is smaller than the sum of its proper divisors (231110040).

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

104813160 is a wasteful number, since it uses less digits than its factorization.

104813160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 104813160 is about 10237.8298481661. The cubic root of 104813160 is about 471.4894052415.

The spelling of 104813160 in words is "one hundred four million, eight hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 191 204 255 269 340 382 408 510 538 573 680 764 807 955 1020 1076 1146 1345 1528 1614 1910 2040 2152 2292 2690 2865 3228 3247 3820 4035 4573 4584 5380 5730 6456 6494 7640 8070 9146 9741 10760 11460 12988 13719 16140 16235 18292 19482 22865 22920 25976 27438 32280 32470 36584 38964 45730 48705 51379 54876 64940 68595 77928 91460 97410 102758 109752 129880 137190 154137 182920 194820 205516 256895 274380 308274 389640 411032 513790 548760 616548 770685 873443 1027580 1233096 1541370 1746886 2055160 2620329 3082740 3493772 4367215 5240658 6165480 6987544 8734430 10481316 13101645 17468860 20962632 26203290 34937720 52406580 104813160