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114368616 = 23327920107
BaseRepresentation
bin1101101000100…
…10000001101000
321222012112020200
412310102001220
5213234243431
615203152200
72556055125
oct664220150
9258175220
10114368616
115961591a
1232375660
131a90494b
141129174c
15a091ee6
hex6d12068

114368616 has 48 divisors (see below), whose sum is σ = 313684800. Its totient is φ = 37638432.

The previous prime is 114368603. The next prime is 114368621. The reversal of 114368616 is 616863411.

114368616 is a `hidden beast` number, since 1 + 1 + 4 + 36 + 8 + 616 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4366 + ... + 15741.

It is an arithmetic number, because the mean of its divisors is an integer number (6535100).

Almost surely, 2114368616 is an apocalyptic number.

It is an amenable number.

114368616 is an abundant number, since it is smaller than the sum of its proper divisors (199316184).

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

114368616 is a wasteful number, since it uses less digits than its factorization.

114368616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20198 (or 20191 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 114368616 is about 10694.3263462455. The cubic root of 114368616 is about 485.4028126959.

The spelling of 114368616 in words is "one hundred fourteen million, three hundred sixty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 20107 40214 60321 80428 120642 160856 180963 241284 361926 482568 723852 1447704 1588453 3176906 4765359 6353812 9530718 12707624 14296077 19061436 28592154 38122872 57184308 114368616