Search a number
-
+
113613948 = 2233733067
BaseRepresentation
bin1101100010110…
…01110001111100
321220210012001000
412301121301330
5213041121243
615135050300
72546463000
oct661316174
9256705030
10113613948
115914a928
1232070990
131a6cc2b6
1411136700
159e935d3
hex6c59c7c

113613948 has 96 divisors (see below), whose sum is σ = 343616000. Its totient is φ = 32450544.

The previous prime is 113613943. The next prime is 113613959. The reversal of 113613948 is 849316311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113613943) 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, 35511 + ... + 38577.

Almost surely, 2113613948 is an apocalyptic number.

113613948 is a gapful number since it is divisible by the number (18) 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 113613948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171808000).

113613948 is an abundant number, since it is smaller than the sum of its proper divisors (230002052).

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

113613948 is a wasteful number, since it uses less digits than its factorization.

113613948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3079 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 113613948 is about 10658.9843793862. The cubic root of 113613948 is about 484.3328027784.

The spelling of 113613948 in words is "one hundred thirteen million, six hundred thirteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2646 3067 3087 4116 5292 6134 6174 9201 9261 12268 12348 18402 18522 21469 27603 36804 37044 42938 55206 64407 82809 85876 110412 128814 150283 165618 193221 257628 300566 331236 386442 450849 579663 601132 772884 901698 1051981 1159326 1352547 1803396 2103962 2318652 2705094 3155943 4057641 4207924 5410188 6311886 8115282 9467829 12623772 16230564 18935658 28403487 37871316 56806974 113613948