Search a number
-
+
113402640 = 243513191913
BaseRepresentation
bin1101100001001…
…10001100010000
321220101110011210
412300212030100
5213012341030
615130340120
72544622641
oct660461420
9256343153
10113402640
115901609a
1231b8a640
131a657070
14110bd6c8
159e50bb0
hex6c26310

113402640 has 160 divisors (see below), whose sum is σ = 398724480. Its totient is φ = 26431488.

The previous prime is 113402623. The next prime is 113402671. The reversal of 113402640 is 46204311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58324 + ... + 60236.

It is an arithmetic number, because the mean of its divisors is an integer number (2492028).

Almost surely, 2113402640 is an apocalyptic number.

113402640 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 113402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199362240).

113402640 is an abundant number, since it is smaller than the sum of its proper divisors (285321840).

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

113402640 is a wasteful number, since it uses less digits than its factorization.

113402640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 113402640 is about 10649.0675648152. The cubic root of 113402640 is about 484.0323499084.

Adding to 113402640 its reverse (46204311), we get a palindrome (159606951).

It can be divided in two parts, 113 and 402640, that added together give a triangular number (402753 = T897).

The spelling of 113402640 in words is "one hundred thirteen million, four hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1913 1976 2280 2470 2964 3120 3705 3826 3952 4560 4940 5739 5928 7410 7652 9565 9880 11478 11856 14820 15304 19130 19760 22956 24869 28695 29640 30608 36347 38260 45912 49738 57390 59280 72694 74607 76520 91824 99476 109041 114780 124345 145388 149214 153040 181735 198952 218082 229560 248690 290776 298428 363470 373035 397904 436164 459120 472511 497380 545205 581552 596856 726940 746070 872328 945022 994760 1090410 1193712 1417533 1453880 1492140 1744656 1890044 1989520 2180820 2362555 2835066 2907760 2984280 3780088 4361640 4725110 5670132 5968560 7087665 7560176 8723280 9450220 11340264 14175330 18900440 22680528 28350660 37800880 56701320 113402640