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116161605 = 32572139379
BaseRepresentation
bin1101110110001…
…11110001000101
322002120121202200
412323013301011
5214214132410
615305425113
72610233400
oct673076105
9262517680
10116161605
115a62aa2a
1232a9b199
131b0b1aa1
14115dad37
15a2e83c0
hex6ec7c45

116161605 has 72 divisors (see below), whose sum is σ = 236527200. Its totient is φ = 52581312.

The previous prime is 116161601. The next prime is 116161657. The reversal of 116161605 is 506161611.

It is not a de Polignac number, because 116161605 - 22 = 116161601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116161601) 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, 306306 + ... + 306684.

It is an arithmetic number, because the mean of its divisors is an integer number (3285100).

Almost surely, 2116161605 is an apocalyptic number.

116161605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116161605 is an abundant number, since it is smaller than the sum of its proper divisors (120365595).

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

116161605 is a wasteful number, since it uses less digits than its factorization.

116161605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 116161605 is about 10777.8293269099. The cubic root of 116161605 is about 487.9262701586.

It can be divided in two parts, 11 and 6161605, that added together give a palindrome (6161616).

The spelling of 116161605 in words is "one hundred sixteen million, one hundred sixty-one thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 139 147 245 315 379 417 441 695 735 973 1137 1251 1895 2085 2205 2653 2919 3411 4865 5685 6255 6811 7959 8757 13265 14595 17055 18571 20433 23877 34055 39795 43785 52681 55713 61299 92855 102165 119385 158043 167139 263405 278565 306495 368767 474129 790215 835695 1106301 1843835 2370645 2581369 3318903 5531505 7744107 12906845 16594515 23232321 38720535 116161605