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113216004 = 223211377727
BaseRepresentation
bin1101011111110…
…00101000000100
321220000222011100
412233320220010
5212440403004
615122340100
72543214546
oct657705004
9256028140
10113216004
11589a8950
1231aba630
131a5c0125
1411071696
159e15739
hex6bf8a04

113216004 has 72 divisors (see below), whose sum is σ = 320681088. Its totient is φ = 33376320.

The previous prime is 113215987. The next prime is 113216027. The reversal of 113216004 is 400612311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 10789 + ... + 18515.

It is an arithmetic number, because the mean of its divisors is an integer number (4453904).

Almost surely, 2113216004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113216004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160340544).

113216004 is an abundant number, since it is smaller than the sum of its proper divisors (207465084).

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

113216004 is a wasteful number, since it uses less digits than its factorization.

113216004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113216004 is about 10640.3009355939. The cubic root of 113216004 is about 483.7666668937.

Adding to 113216004 its reverse (400612311), we get a palindrome (513828315).

The spelling of 113216004 in words is "one hundred thirteen million, two hundred sixteen thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 7727 14652 15454 23181 30908 46362 69543 84997 92724 139086 169994 254991 278172 285899 339988 509982 571798 764973 857697 1019964 1143596 1529946 1715394 2573091 3059892 3144889 3430788 5146182 6289778 9434667 10292364 12579556 18869334 28304001 37738668 56608002 113216004