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116100528 = 2434753971
BaseRepresentation
bin1101110101110…
…00110110110000
322002110111222120
412322320312300
5214210204103
615304234240
72606560335
oct672706660
9262414876
10116100528
115a599055
1232a6b980
131b09004b
14115c298c
15a2d5253
hex6eb8db0

116100528 has 80 divisors (see below), whose sum is σ = 312408576. Its totient is φ = 37123840.

The previous prime is 116100511. The next prime is 116100529. The reversal of 116100528 is 825001611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 116100498 and 116100507.

It is not an unprimeable number, because it can be changed into a prime (116100529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119083 + ... + 120053.

Almost surely, 2116100528 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 116100528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156204288).

116100528 is an abundant number, since it is smaller than the sum of its proper divisors (196308048).

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

116100528 is a wasteful number, since it uses less digits than its factorization.

116100528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 116100528 is about 10774.9954988390. The cubic root of 116100528 is about 487.8407390361.

The spelling of 116100528 in words is "one hundred sixteen million, one hundred thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 53 94 106 141 159 188 212 282 318 376 424 564 636 752 848 971 1128 1272 1942 2256 2491 2544 2913 3884 4982 5826 7473 7768 9964 11652 14946 15536 19928 23304 29892 39856 45637 46608 51463 59784 91274 102926 119568 136911 154389 182548 205852 273822 308778 365096 411704 547644 617556 730192 823408 1095288 1235112 2190576 2418761 2470224 4837522 7256283 9675044 14512566 19350088 29025132 38700176 58050264 116100528