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115124640 = 2535239843
BaseRepresentation
bin1101101110010…
…10100110100000
322000121221022120
412313022212200
5213432442030
615231304240
72565354231
oct667124640
9260557276
10115124640
1159a91934
123267b080
131ab0aab7
141140b088
15a191010
hex6dca9a0

115124640 has 48 divisors (see below), whose sum is σ = 362644128. Its totient is φ = 30699776.

The previous prime is 115124609. The next prime is 115124641. The reversal of 115124640 is 46421511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 115124640.

It is not an unprimeable number, because it can be changed into a prime (115124641) 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 7 ways as a sum of consecutive naturals, for example, 119442 + ... + 120401.

It is an arithmetic number, because the mean of its divisors is an integer number (7555086).

Almost surely, 2115124640 is an apocalyptic number.

115124640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115124640 is an abundant number, since it is smaller than the sum of its proper divisors (247519488).

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

115124640 is a wasteful number, since it uses less digits than its factorization.

115124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239861 (or 239853 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 115124640 is about 10729.6150909527. The cubic root of 115124640 is about 486.4700358668.

The spelling of 115124640 in words is "one hundred fifteen million, one hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 239843 479686 719529 959372 1199215 1439058 1918744 2398430 2878116 3597645 3837488 4796860 5756232 7195290 7674976 9593720 11512464 14390580 19187440 23024928 28781160 38374880 57562320 115124640