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116143488 = 2732412459
BaseRepresentation
bin1101110110000…
…11010110000000
322002112200220200
412323003112000
5214213042423
615305205200
72610126516
oct673032600
9262480820
10116143488
115a61835a
1232a90800
131b0a6776
14115d44b6
15a2e2d43
hex6ec3580

116143488 has 96 divisors (see below), whose sum is σ = 342505800. Its totient is φ = 37754880.

The previous prime is 116143459. The next prime is 116143493. The reversal of 116143488 is 884341611.

It is a happy number.

116143488 is a `hidden beast` number, since 1 + 1 + 614 + 34 + 8 + 8 = 666.

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

It is a super-2 number, since 2×1161434882 = 26978619609612288, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46003 + ... + 48461.

Almost surely, 2116143488 is an apocalyptic number.

116143488 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 116143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171252900).

116143488 is an abundant number, since it is smaller than the sum of its proper divisors (226362312).

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

116143488 is a wasteful number, since it uses less digits than its factorization.

With its successor (116143489) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2520).

116143488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2505 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 116143488 is about 10776.9888187749. The cubic root of 116143488 is about 487.9009025688.

The spelling of 116143488 in words is "one hundred sixteen million, one hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2459 2624 2952 3936 4918 5248 5904 7377 7872 9836 11808 14754 15744 19672 22131 23616 29508 39344 44262 47232 59016 78688 88524 100819 118032 157376 177048 201638 236064 302457 314752 354096 403276 472128 604914 708192 806552 907371 944256 1209828 1416384 1613104 1814742 2419656 2832768 3226208 3629484 4839312 6452416 7258968 9678624 12904832 14517936 19357248 29035872 38714496 58071744 116143488