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113414004 = 223211172991
BaseRepresentation
bin1101100001010…
…00111101110100
321220102000202200
412300220331310
5213013222004
615130504500
72545001034
oct660507564
9256360680
10113414004
1159023690
1231b95130
131a65c2a2
14110c38c4
159e54239
hex6c28f74

113414004 has 108 divisors (see below), whose sum is σ = 332562048. Its totient is φ = 32313600.

The previous prime is 113414003. The next prime is 113414017. The reversal of 113414004 is 400414311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113414003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113949 + ... + 114939.

Almost surely, 2113414004 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 113414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166281024).

113414004 is an abundant number, since it is smaller than the sum of its proper divisors (219148044).

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

113414004 is a wasteful number, since it uses less digits than its factorization.

113414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 113414004 is about 10649.6011192908. The cubic root of 113414004 is about 484.0485175505.

Adding to 113414004 its reverse (400414311), we get a palindrome (513828315).

The spelling of 113414004 in words is "one hundred thirteen million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 289 306 374 396 561 578 612 748 867 991 1122 1156 1683 1734 1982 2244 2601 2973 3179 3366 3468 3964 5202 5946 6358 6732 8919 9537 10404 10901 11892 12716 16847 17838 19074 21802 28611 32703 33694 35676 38148 43604 50541 57222 65406 67388 98109 101082 114444 130812 151623 185317 196218 202164 286399 303246 370634 392436 555951 572798 606492 741268 859197 1111902 1145596 1667853 1718394 2223804 2577591 3150389 3335706 3436788 5155182 6300778 6671412 9451167 10310364 12601556 18902334 28353501 37804668 56707002 113414004