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91311714 = 2321332309
BaseRepresentation
bin1010111000101…
…00111001100010
320100211010010100
411130110321202
5141333433324
613021043230
72156064624
oct534247142
9210733110
1091311714
11475a792a
12266b6516
1315bc1000
14c1acc14
15803a4c9
hex5714e62

91311714 has 48 divisors (see below), whose sum is σ = 214414200. Its totient is φ = 28083744.

The previous prime is 91311713. The next prime is 91311769. The reversal of 91311714 is 41711319.

It can be written as a sum of positive squares in 4 ways, for example, as 12723489 + 78588225 = 3567^2 + 8865^2 .

It is a super-2 number, since 2×913117142 = 16675658227235592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91311713) 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 23 ways as a sum of consecutive naturals, for example, 38392 + ... + 40700.

Almost surely, 291311714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91311714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107207100).

91311714 is an abundant number, since it is smaller than the sum of its proper divisors (123102486).

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

91311714 is a wasteful number, since it uses less digits than its factorization.

91311714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2327 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 91311714 is about 9555.7162996816. The cubic root of 91311714 is about 450.3071384693.

The spelling of 91311714 in words is "ninety-one million, three hundred eleven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 2197 2309 3042 4394 4618 6591 6927 13182 13854 19773 20781 30017 39546 41562 60034 90051 180102 270153 390221 540306 780442 1170663 2341326 3511989 5072873 7023978 10145746 15218619 30437238 45655857 91311714