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91960 = 23511219
BaseRepresentation
bin10110011100111000
311200010221
4112130320
510420320
61545424
7532051
oct263470
9150127
1091960
1163100
1245274
1332b1b
1425728
151c3aa
hex16738

91960 has 48 divisors (see below), whose sum is σ = 239400. Its totient is φ = 31680.

The previous prime is 91957. The next prime is 91961. The reversal of 91960 is 6919.

It is a super-3 number, since 3×919603 = 2333018284608000, which contains 333 as substring.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4831 + ... + 4849.

291960 is an apocalyptic number.

91960 is the 152-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119700).

91960 is an abundant number, since it is smaller than the sum of its proper divisors (147440).

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

91960 is a wasteful number, since it uses less digits than its factorization.

91960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 91960 is about 303.2490725460. The cubic root of 91960 is about 45.1370308593.

It can be divided in two parts, 919 and 60, that added together give a palindrome (979).

The spelling of 91960 in words is "ninety-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 121 152 190 209 220 242 380 418 440 484 605 760 836 968 1045 1210 1672 2090 2299 2420 4180 4598 4840 8360 9196 11495 18392 22990 45980 91960