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93940 = 22571161
BaseRepresentation
bin10110111011110100
311202212021
4112323310
511001230
62002524
7540610
oct267364
9152767
1093940
1164640
1246444
13339b2
1426340
151cc7a
hex16ef4

93940 has 48 divisors (see below), whose sum is σ = 249984. Its totient is φ = 28800.

The previous prime is 93937. The next prime is 93941. The reversal of 93940 is 4939.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (93941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1510 + ... + 1570.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

293940 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 93940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

93940 is an abundant number, since it is smaller than the sum of its proper divisors (156044).

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

93940 is a wasteful number, since it uses less digits than its factorization.

93940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 93940 is about 306.4963295049. The cubic root of 93940 is about 45.4586832597.

It can be divided in two parts, 939 and 40, that added together give a palindrome (979).

The spelling of 93940 in words is "ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 61 70 77 110 122 140 154 220 244 305 308 385 427 610 671 770 854 1220 1342 1540 1708 2135 2684 3355 4270 4697 6710 8540 9394 13420 18788 23485 46970 93940