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113728776 = 23371739821
BaseRepresentation
bin1101100011101…
…01110100001000
321221000000112220
412301311310020
5213103310101
615141334040
72550451530
oct661656410
9257000486
10113728776
1159219127
1232107320
131a73c645
14111664c0
159eb7636
hex6c75d08

113728776 has 64 divisors (see below), whose sum is σ = 344062080. Its totient is φ = 30581760.

The previous prime is 113728763. The next prime is 113728777. The reversal of 113728776 is 677827311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113728777) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17055 + ... + 22766.

It is an arithmetic number, because the mean of its divisors is an integer number (5375970).

Almost surely, 2113728776 is an apocalyptic number.

It is an amenable number.

113728776 is an abundant number, since it is smaller than the sum of its proper divisors (230333304).

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

113728776 is a wasteful number, since it uses less digits than its factorization.

113728776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39854 (or 39850 counting only the distinct ones).

The product of its digits is 98784, while the sum is 42.

The square root of 113728776 is about 10664.3694609667. The cubic root of 113728776 is about 484.4959172614.

The spelling of 113728776 in words is "one hundred thirteen million, seven hundred twenty-eight thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 39821 79642 119463 159284 238926 278747 318568 477852 557494 676957 836241 955704 1114988 1353914 1672482 2030871 2229976 2707828 3344964 4061742 4738699 5415656 6689928 8123484 9477398 14216097 16246968 18954796 28432194 37909592 56864388 113728776