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116611488 = 253476427
BaseRepresentation
bin1101111001101…
…01100110100000
322010102110220000
412330311212200
5214323031423
615323220000
72614116120
oct674654640
9263373800
10116611488
115a907a34
1233077600
131b20b7a6
14116b6c80
15a386843
hex6f359a0

116611488 has 120 divisors (see below), whose sum is σ = 392005152. Its totient is φ = 33312384.

The previous prime is 116611463. The next prime is 116611507. The reversal of 116611488 is 884116611.

116611488 is a `hidden beast` number, since 1 + 166 + 11 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14931 + ... + 21357.

Almost surely, 2116611488 is an apocalyptic number.

116611488 is a gapful number since it is divisible by the number (18) 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 116611488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196002576).

116611488 is an abundant number, since it is smaller than the sum of its proper divisors (275393664).

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

116611488 is an equidigital number, since it uses as much as digits as its factorization.

116611488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456 (or 6439 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 116611488 is about 10798.6799193235. The cubic root of 116611488 is about 488.5553562844. Note that the first 3 decimals are identical.

The spelling of 116611488 in words is "one hundred sixteen million, six hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 6427 9072 12854 18144 19281 25708 38562 44989 51416 57843 77124 89978 102832 115686 134967 154248 173529 179956 205664 231372 269934 308496 347058 359912 404901 462744 520587 539868 616992 694116 719824 809802 925488 1041174 1079736 1214703 1388232 1439648 1619604 1850976 2082348 2159472 2429406 2776464 3239208 3644109 4164696 4318944 4858812 5552928 6478416 7288218 8329392 9717624 12956832 14576436 16658784 19435248 29152872 38870496 58305744 116611488