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113404464 = 243219181229
BaseRepresentation
bin1101100001001…
…10101000110000
321220101112200100
412300212220300
5213012420324
615130352400
72544631155
oct660465060
9256345610
10113404464
11590174a8
1231b8b700
131a657b44
14110c022c
159e514c9
hex6c26a30

113404464 has 120 divisors (see below), whose sum is σ = 337391600. Its totient is φ = 35458560.

The previous prime is 113404463. The next prime is 113404481. The reversal of 113404464 is 464404311.

It is not an unprimeable number, because it can be changed into a prime (113404463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495102 + ... + 495330.

Almost surely, 2113404464 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 113404464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168695800).

113404464 is an abundant number, since it is smaller than the sum of its proper divisors (223987136).

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

113404464 is a wasteful number, since it uses less digits than its factorization.

113404464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 113404464 is about 10649.1532057718. The cubic root of 113404464 is about 484.0349449987.

Adding to 113404464 its reverse (464404311), we get a palindrome (577808775).

The spelling of 113404464 in words is "one hundred thirteen million, four hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 181 228 229 304 342 362 456 458 543 684 687 724 912 916 1086 1368 1374 1448 1629 1832 2061 2172 2736 2748 2896 3258 3439 3664 4122 4344 4351 5496 6516 6878 8244 8688 8702 10317 10992 13032 13053 13756 16488 17404 20634 26064 26106 27512 30951 32976 34808 39159 41268 41449 52212 55024 61902 69616 78318 82536 82898 104424 123804 124347 156636 165072 165796 208848 247608 248694 313272 331592 373041 495216 497388 626544 663184 746082 787531 994776 1492164 1575062 1989552 2362593 2984328 3150124 4725186 5968656 6300248 7087779 9450372 12600496 14175558 18900744 28351116 37801488 56702232 113404464