Search a number
-
+
113678040 = 23357219333
BaseRepresentation
bin1101100011010…
…01011011011000
321220220102221210
412301221123120
5213100144130
615140303120
72550150600
oct661513330
9256812853
10113678040
1159193aa3
12320a1aa0
131a722518
1411151c00
159ea75b0
hex6c696d8

113678040 has 96 divisors (see below), whose sum is σ = 396733680. Its totient is φ = 25982208.

The previous prime is 113678027. The next prime is 113678051. The reversal of 113678040 is 40876311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 113677989 and 113678007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3787 + ... + 15546.

Almost surely, 2113678040 is an apocalyptic number.

113678040 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 113678040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198366840).

113678040 is an abundant number, since it is smaller than the sum of its proper divisors (283055640).

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

113678040 is a wasteful number, since it uses less digits than its factorization.

113678040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19361 (or 19350 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 113678040 is about 10661.9904333103. The cubic root of 113678040 is about 484.4238597400.

The spelling of 113678040 in words is "one hundred thirteen million, six hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 19333 38666 57999 77332 96665 115998 135331 154664 193330 231996 270662 289995 386660 405993 463992 541324 579990 676655 773320 811986 947317 1082648 1159980 1353310 1623972 1894634 2029965 2319960 2706620 2841951 3247944 3789268 4059930 4736585 5413240 5683902 7578536 8119860 9473170 11367804 14209755 16239720 18946340 22735608 28419510 37892680 56839020 113678040