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113350608 = 24327139809
BaseRepresentation
bin1101100000110…
…01011111010000
321220021210210200
412300121133100
5213004204413
615125255200
72544315150
oct660313720
9256253720
10113350608
1158a8aa98
1231b64500
131a639487
14110a8760
159e40573
hex6c197d0

113350608 has 120 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 32113152.

The previous prime is 113350603. The next prime is 113350613. The reversal of 113350608 is 806053311.

113350608 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 50 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (113350603) and next prime (113350613).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113350603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139708 + ... + 140516.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2113350608 is an apocalyptic number.

113350608 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 113350608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

113350608 is an abundant number, since it is smaller than the sum of its proper divisors (252250992).

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

113350608 is a wasteful number, since it uses less digits than its factorization.

113350608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113350608 is about 10646.6242537247. The cubic root of 113350608 is about 483.9583098212.

The spelling of 113350608 in words is "one hundred thirteen million, three hundred fifty thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 139 144 168 252 278 336 417 504 556 809 834 973 1008 1112 1251 1618 1668 1946 2224 2427 2502 2919 3236 3336 3892 4854 5004 5663 5838 6472 6672 7281 7784 8757 9708 10008 11326 11676 12944 14562 15568 16989 17514 19416 20016 22652 23352 29124 33978 35028 38832 45304 46704 50967 58248 67956 70056 90608 101934 112451 116496 135912 140112 203868 224902 271824 337353 407736 449804 674706 787157 815472 899608 1012059 1349412 1574314 1799216 2024118 2361471 2698824 3148628 4048236 4722942 5397648 6297256 7084413 8096472 9445884 12594512 14168826 16192944 18891768 28337652 37783536 56675304 113350608