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116097624 = 2336171171
BaseRepresentation
bin1101110101110…
…00001001011000
322002110101000000
412322320021120
5214210110444
615304213000
72606546016
oct672701130
9262411000
10116097624
115a596955
1232a6a160
131b08b926
14115c18b6
15a2d4469
hex6eb8258

116097624 has 112 divisors (see below), whose sum is σ = 345868920. Its totient is φ = 36391680.

The previous prime is 116097623. The next prime is 116097673. The reversal of 116097624 is 426790611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116097623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 98559 + ... + 99729.

Almost surely, 2116097624 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 116097624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172934460).

116097624 is an abundant number, since it is smaller than the sum of its proper divisors (229771296).

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

116097624 is a wasteful number, since it uses less digits than its factorization.

116097624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 116097624 is about 10774.8607415595. The cubic root of 116097624 is about 487.8366715803.

The spelling of 116097624 in words is "one hundred sixteen million, ninety-seven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1171 1224 1377 1458 1836 1944 2342 2754 2916 3513 3672 4131 4684 5508 5832 7026 8262 9368 10539 11016 12393 14052 16524 19907 21078 24786 28104 31617 33048 39814 42156 49572 59721 63234 79628 84312 94851 99144 119442 126468 159256 179163 189702 238884 252936 284553 358326 379404 477768 537489 569106 716652 758808 853659 1074978 1138212 1433304 1612467 1707318 2149956 2276424 3224934 3414636 4299912 4837401 6449868 6829272 9674802 12899736 14512203 19349604 29024406 38699208 58048812 116097624