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113011416 = 23337411823
BaseRepresentation
bin1101011110001…
…10101011011000
321212122120112000
412233012223120
5212412331131
615114121000
72541403230
oct657065330
9255576460
10113011416
1158879171
1231a20160
131a54ac7b
141101acc0
159dc4ce6
hex6bc6ad8

113011416 has 128 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 31484160.

The previous prime is 113011369. The next prime is 113011417. The reversal of 113011416 is 614110311.

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 (113011417) 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, 61081 + ... + 62903.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2113011416 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 113011416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

113011416 is an abundant number, since it is smaller than the sum of its proper divisors (254706984).

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

113011416 is a wasteful number, since it uses less digits than its factorization.

113011416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 113011416 is about 10630.6827626451. The cubic root of 113011416 is about 483.4750928880.

Adding to 113011416 its reverse (614110311), we get a palindrome (727121727).

The spelling of 113011416 in words is "one hundred thirteen million, eleven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 1823 2214 2296 2583 2952 3444 3646 4428 5166 5469 6888 7292 7749 8856 10332 10938 12761 14584 15498 16407 20664 21876 25522 30996 32814 38283 43752 49221 51044 61992 65628 74743 76566 98442 102088 114849 131256 149486 153132 196884 224229 229698 298972 306264 344547 393768 448458 459396 523201 597944 672687 689094 896916 918792 1046402 1345374 1378188 1569603 1793832 2018061 2092804 2690748 2756376 3139206 4036122 4185608 4708809 5381496 6278412 8072244 9417618 12556824 14126427 16144488 18835236 28252854 37670472 56505708 113011416