Search a number
-
+
104157240 = 233511194153
BaseRepresentation
bin1100011010101…
…01000000111000
321020222201212120
412031111000320
5203131012430
614200241240
72403215265
oct615250070
9236881776
10104157240
1153880970
122aa70220
131876ab05
14db9426c
159226610
hex6355038

104157240 has 128 divisors (see below), whose sum is σ = 358905600. Its totient is φ = 23915520.

The previous prime is 104157211. The next prime is 104157247. The reversal of 104157240 is 42751401.

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 104157240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104157247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23004 + ... + 27156.

It is an arithmetic number, because the mean of its divisors is an integer number (2803950).

Almost surely, 2104157240 is an apocalyptic number.

104157240 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 104157240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179452800).

104157240 is an abundant number, since it is smaller than the sum of its proper divisors (254748360).

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

104157240 is a wasteful number, since it uses less digits than its factorization.

104157240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 104157240 is about 10205.7454406819. The cubic root of 104157240 is about 470.5038206796.

The spelling of 104157240 in words is "one hundred four million, one hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4153 4180 5016 6270 8306 8360 12459 12540 16612 20765 24918 25080 33224 41530 45683 49836 62295 78907 83060 91366 99672 124590 137049 157814 166120 182732 228415 236721 249180 274098 315628 365464 394535 456830 473442 498360 548196 631256 685245 789070 867977 913660 946884 1096392 1183605 1370490 1578140 1735954 1827320 1893768 2367210 2603931 2740980 3156280 3471908 4339885 4734420 5207862 5481960 6943816 8679770 9468840 10415724 13019655 17359540 20831448 26039310 34719080 52078620 104157240