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118113424 = 24112132192
BaseRepresentation
bin1110000101001…
…00010010010000
322020020210011021
413002210102100
5220214112144
615415325224
72632643002
oct702442220
9266223137
10118113424
1160743400
1233680814
131b616300
1411988372
15a581884
hex70a4490

118113424 has 135 divisors (see below), whose sum is σ = 287467929. Its totient is φ = 46949760.

The previous prime is 118113403. The next prime is 118113427. The reversal of 118113424 is 424311811.

The square root of 118113424 is 10868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17472400 + 100641024 = 4180^2 + 10032^2 .

It is not an unprimeable number, because it can be changed into a prime (118113427) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6216487 + ... + 6216505.

Almost surely, 2118113424 is an apocalyptic number.

118113424 is the 10868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118113424

118113424 is an abundant number, since it is smaller than the sum of its proper divisors (169354505).

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

118113424 is a wasteful number, since it uses less digits than its factorization.

118113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 45 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The cubic root of 118113424 is about 490.6439181259.

Multiplying 118113424 by its sum of digits (25), we get a square (2952835600 = 543402).

The spelling of 118113424 in words is "one hundred eighteen million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 121 143 152 169 176 208 209 242 247 286 304 338 361 418 484 494 572 676 722 836 968 988 1144 1352 1444 1573 1672 1859 1936 1976 2288 2299 2704 2717 2888 3146 3211 3344 3718 3952 3971 4598 4693 5434 5776 6292 6422 7436 7942 9196 9386 10868 12584 12844 14872 15884 18392 18772 20449 21736 25168 25688 29744 29887 31768 35321 36784 37544 40898 43472 43681 51376 51623 59774 61009 63536 70642 75088 81796 87362 103246 119548 122018 141284 163592 174724 206492 239096 244036 282568 327184 349448 388531 412984 478192 488072 565136 567853 671099 698896 777062 825968 976144 1135706 1342198 1554124 2271412 2684396 3108248 4542824 5368792 6216496 7382089 9085648 10737584 14764178 29528356 59056712 118113424