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116052345 = 3452941241
BaseRepresentation
bin1101110101011…
…01000101111001
322002101001220000
412322231011321
5214202133340
615303223213
72606300013
oct672550571
9262331800
10116052345
115a565932
1232a47b09
131b074136
14115ad1b3
15a2c5d30
hex6ead179

116052345 has 80 divisors (see below), whose sum is σ = 221371920. Its totient is φ = 58060800.

The previous prime is 116052341. The next prime is 116052347. The reversal of 116052345 is 543250611.

116052345 is a `hidden beast` number, since 11 + 605 + 2 + 3 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4981824 + 111070521 = 2232^2 + 10539^2 .

It is not a de Polignac number, because 116052345 - 22 = 116052341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116052341) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 481425 + ... + 481665.

It is an arithmetic number, because the mean of its divisors is an integer number (2767149).

Almost surely, 2116052345 is an apocalyptic number.

116052345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116052345 is a deficient number, since it is larger than the sum of its proper divisors (105319575).

116052345 is a wasteful number, since it uses less digits than its factorization.

116052345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 116052345 is about 10772.7593958094. The cubic root of 116052345 is about 487.7732432685.

The spelling of 116052345 in words is "one hundred sixteen million, fifty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 29 41 45 81 87 123 135 145 205 241 261 369 405 435 615 723 783 1107 1189 1205 1305 1845 2169 2349 3321 3567 3615 3915 5535 5945 6507 6989 9881 10701 10845 11745 16605 17835 19521 20967 29643 32103 32535 34945 49405 53505 62901 88929 96309 97605 104835 148215 160515 188703 266787 286549 314505 444645 481545 566109 800361 859647 943515 1333935 1432745 2578941 2830545 4001805 4298235 7736823 12894705 23210469 38684115 116052345