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115116064 = 257653787
BaseRepresentation
bin1101101110010…
…00100000100000
322000121111112221
412313020200200
5213432203224
615231200424
72565320230
oct667104040
9260544487
10115116064
1159a86448
1232676114
131ab06c1b
1411407cc0
15a18d6e4
hex6dc8820

115116064 has 48 divisors (see below), whose sum is σ = 259737408. Its totient is φ = 49197312.

The previous prime is 115116007. The next prime is 115116073. The reversal of 115116064 is 460611511.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145879 + ... + 146665.

It is an arithmetic number, because the mean of its divisors is an integer number (5411196).

Almost surely, 2115116064 is an apocalyptic number.

115116064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

115116064 is an abundant number, since it is smaller than the sum of its proper divisors (144621344).

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

115116064 is an equidigital number, since it uses as much as digits as its factorization.

115116064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 115116064 is about 10729.2154419603. The cubic root of 115116064 is about 486.4579560010.

Adding to 115116064 its reverse (460611511), we get a palindrome (575727575).

The spelling of 115116064 in words is "one hundred fifteen million, one hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 653 787 1306 1574 2612 3148 4571 5224 5509 6296 9142 10448 11018 12592 18284 20896 22036 25184 36568 44072 73136 88144 146272 176288 513911 1027822 2055644 3597377 4111288 7194754 8222576 14389508 16445152 28779016 57558032 115116064