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116411460 = 223511233757
BaseRepresentation
bin1101111000001…
…00110001000100
322010001022111120
412330010301010
5214300131320
615315033540
72612324004
oct674046104
9263038446
10116411460
115a790720
1232b9b8b0
131b16b729
1411664004
15a347440
hex6f04c44

116411460 has 96 divisors (see below), whose sum is σ = 357581952. Its totient is φ = 28062720.

The previous prime is 116411453. The next prime is 116411467. The reversal of 116411460 is 64114611.

It is an interprime number because it is at equal distance from previous prime (116411453) and next prime (116411467).

It is a self number, because there is not a number n which added to its sum of digits gives 116411460.

It is not an unprimeable number, because it can be changed into a prime (116411467) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 153402 + ... + 154158.

It is an arithmetic number, because the mean of its divisors is an integer number (3724812).

Almost surely, 2116411460 is an apocalyptic number.

116411460 is a gapful number since it is divisible by the number (10) 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 116411460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178790976).

116411460 is an abundant number, since it is smaller than the sum of its proper divisors (241170492).

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

116411460 is a wasteful number, since it uses less digits than its factorization.

116411460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 116411460 is about 10789.4142565757. The cubic root of 116411460 is about 488.2758507149.

It can be divided in two parts, 1 and 16411460, that added together give a palindrome (16411461).

The spelling of 116411460 in words is "one hundred sixteen million, four hundred eleven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 233 330 466 660 699 757 932 1165 1398 1514 2271 2330 2563 2796 3028 3495 3785 4542 4660 5126 6990 7570 7689 8327 9084 10252 11355 12815 13980 15140 15378 16654 22710 24981 25630 30756 33308 38445 41635 45420 49962 51260 76890 83270 99924 124905 153780 166540 176381 249810 352762 499620 529143 705524 881905 1058286 1763810 1940191 2116572 2645715 3527620 3880382 5291430 5820573 7760764 9700955 10582860 11641146 19401910 23282292 29102865 38803820 58205730 116411460