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115463616 = 2632989233
BaseRepresentation
bin1101110000111…
…01010111000000
322001021011022020
412320131113000
5214024313431
615242441440
72601265422
oct670352700
9261234266
10115463616
115a1a3584
1232803280
131abc9188
1411498812
15a20b696
hex6e1d5c0

115463616 has 112 divisors (see below), whose sum is σ = 320954400. Its totient is φ = 36585472.

The previous prime is 115463603. The next prime is 115463617. The reversal of 115463616 is 616364511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115463617) 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, 495436 + ... + 495668.

Almost surely, 2115463616 is an apocalyptic number.

115463616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160477200).

115463616 is an abundant number, since it is smaller than the sum of its proper divisors (205490784).

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

115463616 is a wasteful number, since it uses less digits than its factorization.

115463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 115463616 is about 10745.3997598973. The cubic root of 115463616 is about 486.9470263824.

The spelling of 115463616 in words is "one hundred fifteen million, four hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 89 96 116 174 178 192 232 233 267 348 356 464 466 534 696 699 712 928 932 1068 1392 1398 1424 1856 1864 2136 2581 2784 2796 2848 3728 4272 5162 5568 5592 5696 6757 7456 7743 8544 10324 11184 13514 14912 15486 17088 20271 20648 20737 22368 27028 30972 40542 41296 41474 44736 54056 61944 62211 81084 82592 82948 108112 123888 124422 162168 165184 165896 216224 247776 248844 324336 331792 432448 495552 497688 601373 648672 663584 995376 1202746 1297344 1327168 1804119 1990752 2405492 3608238 3981504 4810984 7216476 9621968 14432952 19243936 28865904 38487872 57731808 115463616