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116382357 = 32713217643
BaseRepresentation
bin1101110111111…
…01101010010101
322002222211120200
412323331222111
5214243213412
615314251113
72612143110
oct673755225
9262884520
10116382357
115a770873
1232b86a99
131b15b400
1411657577
15a33d9dc
hex6efda95

116382357 has 72 divisors (see below), whose sum is σ = 220618944. Its totient is φ = 57687552.

The previous prime is 116382319. The next prime is 116382361. The reversal of 116382357 is 753283611.

116382357 is a `hidden beast` number, since 11 + 638 + 2 + 3 + 5 + 7 = 666.

It is not a de Polignac number, because 116382357 - 27 = 116382229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116382317) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 180678 + ... + 181320.

It is an arithmetic number, because the mean of its divisors is an integer number (3064152).

Almost surely, 2116382357 is an apocalyptic number.

116382357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

116382357 is a deficient number, since it is larger than the sum of its proper divisors (104236587).

116382357 is a wasteful number, since it uses less digits than its factorization.

116382357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 683 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 116382357 is about 10788.0654892339. The cubic root of 116382357 is about 488.2351574806.

The spelling of 116382357 in words is "one hundred sixteen million, three hundred eighty-two thousand, three hundred fifty-seven".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 169 221 273 357 507 643 663 819 1071 1183 1521 1547 1929 1989 2873 3549 4501 4641 5787 8359 8619 10647 10931 13503 13923 20111 25077 25857 32793 40509 58513 60333 75231 76517 98379 108667 142103 175539 180999 229551 326001 426309 526617 688653 760669 978003 994721 1278927 1847339 2282007 2984163 5542017 6846021 8952489 12931373 16626051 38794119 116382357