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116523264 = 28311131061
BaseRepresentation
bin1101111001000…
…00000100000000
322010020222212110
412330200010000
5214312221024
615321255320
72613300654
oct674400400
9263228773
10116523264
115a857720
1233034540
131b1aa5a0
1411692a64
15a36a629
hex6f20100

116523264 has 144 divisors (see below), whose sum is σ = 364682304. Its totient is φ = 32563200.

The previous prime is 116523263. The next prime is 116523299. The reversal of 116523264 is 462325611.

It is not an unprimeable number, because it can be changed into a prime (116523263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109294 + ... + 110354.

It is an arithmetic number, because the mean of its divisors is an integer number (2532516).

Almost surely, 2116523264 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 116523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182341152).

116523264 is an abundant number, since it is smaller than the sum of its proper divisors (248159040).

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

116523264 is a wasteful number, since it uses less digits than its factorization.

116523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 116523264 is about 10794.5942026553. The cubic root of 116523264 is about 488.4321174768.

Adding to 116523264 its reverse (462325611), we get a palindrome (578848875).

The spelling of 116523264 in words is "one hundred sixteen million, five hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1061 1144 1248 1408 1664 1716 2112 2122 2288 2496 2816 3183 3328 3432 4224 4244 4576 4992 6366 6864 8448 8488 9152 9984 11671 12732 13728 13793 16976 18304 23342 25464 27456 27586 33952 35013 36608 41379 46684 50928 54912 55172 67904 70026 82758 93368 101856 109824 110344 135808 140052 151723 165516 186736 203712 220688 271616 280104 303446 331032 373472 407424 441376 455169 560208 606892 662064 746944 814848 882752 910338 1120416 1213784 1324128 1493888 1765504 1820676 2240832 2427568 2648256 2987776 3531008 3641352 4481664 4855136 5296512 7282704 8963328 9710272 10593024 14565408 19420544 29130816 38841088 58261632 116523264