Search a number
-
+
113277240 = 233251916561
BaseRepresentation
bin1101100000001…
…11100100111000
321220011002011100
412300013210320
5212444332430
615123531400
72543561226
oct660074470
9256132140
10113277240
1158a3a95a
1231b29b60
131a611c6b
1411089b16
159e28960
hex6c07938

113277240 has 96 divisors (see below), whose sum is σ = 387550800. Its totient is φ = 28615680.

The previous prime is 113277233. The next prime is 113277251. The reversal of 113277240 is 42772311.

It is a happy number.

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, 1441 + ... + 15120.

Almost surely, 2113277240 is an apocalyptic number.

113277240 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 113277240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193775400).

113277240 is an abundant number, since it is smaller than the sum of its proper divisors (274273560).

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

113277240 is a wasteful number, since it uses less digits than its factorization.

113277240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16597 (or 16590 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 113277240 is about 10643.1780967905. The cubic root of 113277240 is about 483.8538706905.

The spelling of 113277240 in words is "one hundred thirteen million, two hundred seventy-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 16561 33122 49683 66244 82805 99366 132488 149049 165610 198732 248415 298098 314659 331220 397464 496830 596196 629318 662440 745245 943977 993660 1192392 1258636 1490490 1573295 1887954 1987320 2517272 2831931 2980980 3146590 3775908 4719885 5663862 5961960 6293180 7551816 9439770 11327724 12586360 14159655 18879540 22655448 28319310 37759080 56638620 113277240