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115160064 = 2103191973
BaseRepresentation
bin1101101110100…
…11010000000000
322000200201220120
412313103100000
5213440110224
615232140240
72565562425
oct667232000
9260621816
10115160064
115a006508
1232697680
131ab20c66
1411419d4c
15a19b779
hex6dd3400

115160064 has 88 divisors (see below), whose sum is σ = 323262240. Its totient is φ = 36347904.

The previous prime is 115160053. The next prime is 115160107. The reversal of 115160064 is 460061511.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57382 + ... + 59354.

Almost surely, 2115160064 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 115160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161631120).

115160064 is an abundant number, since it is smaller than the sum of its proper divisors (208102176).

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

115160064 is a wasteful number, since it uses less digits than its factorization.

115160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 115160064 is about 10731.2657221783. The cubic root of 115160064 is about 486.5199265689.

The spelling of 115160064 in words is "one hundred fifteen million, one hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 1973 2432 3072 3648 3946 4864 5919 7296 7892 9728 11838 14592 15784 19456 23676 29184 31568 37487 47352 58368 63136 74974 94704 112461 126272 149948 189408 224922 252544 299896 378816 449844 505088 599792 757632 899688 1010176 1199584 1515264 1799376 2020352 2399168 3030528 3598752 4798336 6061056 7197504 9596672 14395008 19193344 28790016 38386688 57580032 115160064