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91166140 = 2251329107113
BaseRepresentation
bin1010110111100…
…01010110111100
320100112201102201
411123301112330
5141314304030
613014001244
72154620332
oct533612674
9210481381
1091166140
114750851a
1226646224
1315b6c980
14c171b52
15800c2ca
hex56f15bc

91166140 has 96 divisors (see below), whose sum is σ = 217183680. Its totient is φ = 31911936.

The previous prime is 91166093. The next prime is 91166197. The reversal of 91166140 is 4166119.

It is a super-2 number, since 2×911661402 = 16622530164999200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 91166099 and 91166108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806724 + ... + 806836.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 291166140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91166140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

91166140 is an abundant number, since it is smaller than the sum of its proper divisors (126017540).

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

91166140 is a wasteful number, since it uses less digits than its factorization.

91166140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 91166140 is about 9548.0961453056. The cubic root of 91166140 is about 450.0677099760.

The spelling of 91166140 in words is "ninety-one million, one hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 107 113 116 130 145 214 226 260 290 377 428 452 535 565 580 754 1070 1130 1391 1469 1508 1885 2140 2260 2782 2938 3103 3277 3770 5564 5876 6206 6554 6955 7345 7540 12091 12412 13108 13910 14690 15515 16385 24182 27820 29380 31030 32770 40339 42601 48364 60455 62060 65540 80678 85202 120910 157183 161356 170404 201695 213005 241820 314366 350639 403390 426010 628732 701278 785915 806780 852020 1402556 1571830 1753195 3143660 3506390 4558307 7012780 9116614 18233228 22791535 45583070 91166140