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116401365 = 32579137239
BaseRepresentation
bin1101111000000…
…10010011010101
322010000210122200
412330002103111
5214244320430
615314515113
72612252403
oct674022325
9263023580
10116401365
115a784083
1232b95a99
131b166c62
1411660473
15a344460
hex6f024d5

116401365 has 48 divisors (see below), whose sum is σ = 206668800. Its totient is φ = 60592896.

The previous prime is 116401361. The next prime is 116401379. The reversal of 116401365 is 563104611.

116401365 is a `hidden beast` number, since 1 + 1 + 640 + 13 + 6 + 5 = 666.

It is not a de Polignac number, because 116401365 - 22 = 116401361 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116401361) 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 47 ways as a sum of consecutive naturals, for example, 486916 + ... + 487154.

It is an arithmetic number, because the mean of its divisors is an integer number (4305600).

Almost surely, 2116401365 is an apocalyptic number.

116401365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116401365 is a deficient number, since it is larger than the sum of its proper divisors (90267435).

116401365 is a wasteful number, since it uses less digits than its factorization.

116401365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 116401365 is about 10788.9464267833. The cubic root of 116401365 is about 488.2617361618.

Adding to 116401365 its reverse (563104611), we get a palindrome (679505976).

The spelling of 116401365 in words is "one hundred sixteen million, four hundred one thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 79 137 237 239 395 411 685 711 717 1185 1195 1233 2055 2151 3555 3585 6165 10755 10823 18881 32469 32743 54115 56643 94405 97407 98229 162345 163715 169929 283215 294687 487035 491145 849645 1473435 2586697 7760091 12933485 23280273 38800455 116401365