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116153184 = 25371271361
BaseRepresentation
bin1101110110001…
…01101101100000
322002120012012210
412323011231200
5214213400214
615305322120
72610200010
oct673055540
9262505183
10116153184
115a624674
1232a96340
131b0aacc4
14115d7c40
15a2e5b59
hex6ec5b60

116153184 has 96 divisors (see below), whose sum is σ = 351461376. Its totient is φ = 32901120.

The previous prime is 116153173. The next prime is 116153201. The reversal of 116153184 is 481351611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84664 + ... + 86024.

It is an arithmetic number, because the mean of its divisors is an integer number (3661056).

Almost surely, 2116153184 is an apocalyptic number.

116153184 is a gapful number since it is divisible by the number (14) 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 116153184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175730688).

116153184 is an abundant number, since it is smaller than the sum of its proper divisors (235308192).

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

116153184 is a wasteful number, since it uses less digits than its factorization.

116153184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1500 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 116153184 is about 10777.4386567496. The cubic root of 116153184 is about 487.9144793252.

It can be divided in two parts, 1161 and 53184, that added together give a palindrome (54345).

The spelling of 116153184 in words is "one hundred sixteen million, one hundred fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 168 224 254 336 381 508 672 762 889 1016 1361 1524 1778 2032 2667 2722 3048 3556 4064 4083 5334 5444 6096 7112 8166 9527 10668 10888 12192 14224 16332 19054 21336 21776 28448 28581 32664 38108 42672 43552 57162 65328 76216 85344 114324 130656 152432 172847 228648 304864 345694 457296 518541 691388 914592 1037082 1209929 1382776 2074164 2419858 2765552 3629787 4148328 4839716 5531104 7259574 8296656 9679432 14519148 16593312 19358864 29038296 38717728 58076592 116153184