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116030624 = 2529971289
BaseRepresentation
bin1101110101001…
…11110010100000
322002022222002112
412322213302200
5214200434444
615302534452
72606146463
oct672476240
9262288075
10116030624
115a550586
1232a37428
131b067298
14115a52da
15a2be69e
hex6ea7ca0

116030624 has 48 divisors (see below), whose sum is σ = 238933800. Its totient is φ = 55394304.

The previous prime is 116030599. The next prime is 116030657. The reversal of 116030624 is 426030611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 109579024 + 6451600 = 10468^2 + 2540^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 116030624.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89372 + ... + 90660.

Almost surely, 2116030624 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 116030624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119466900).

116030624 is an abundant number, since it is smaller than the sum of its proper divisors (122903176).

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

116030624 is a wasteful number, since it uses less digits than its factorization.

116030624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 116030624 is about 10771.7512039594. The cubic root of 116030624 is about 487.7428099220.

The spelling of 116030624 in words is "one hundred sixteen million, thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 97 116 194 232 388 464 776 928 1289 1552 2578 2813 3104 5156 5626 10312 11252 20624 22504 37381 41248 45008 74762 90016 125033 149524 250066 299048 500132 598096 1000264 1196192 2000528 3625957 4001056 7251914 14503828 29007656 58015312 116030624