Search a number
-
+
93131740 = 225131811979
BaseRepresentation
bin1011000110100…
…01001111011100
320111020120201201
411203101033130
5142320203430
613124045244
72210415052
oct543211734
9214216651
1093131740
1148630289
1227233824
13163aa550
14c5241d2
1582998ca
hex58d13dc

93131740 has 48 divisors (see below), whose sum is σ = 211891680. Its totient is φ = 34179840.

The previous prime is 93131723. The next prime is 93131741. The reversal of 93131740 is 4713139.

It is a junction number, because it is equal to n+sod(n) for n = 93131699 and 93131708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93131741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46071 + ... + 48049.

It is an arithmetic number, because the mean of its divisors is an integer number (4414410).

Almost surely, 293131740 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 93131740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105945840).

93131740 is an abundant number, since it is smaller than the sum of its proper divisors (118759940).

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

93131740 is a wasteful number, since it uses less digits than its factorization.

93131740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 93131740 is about 9650.4787446012. The cubic root of 93131740 is about 453.2793200257.

Adding to 93131740 its reverse (4713139), we get a palindrome (97844879).

The spelling of 93131740 in words is "ninety-three million, one hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 260 362 724 905 1810 1979 2353 3620 3958 4706 7916 9412 9895 11765 19790 23530 25727 39580 47060 51454 102908 128635 257270 358199 514540 716398 1432796 1790995 3581990 4656587 7163980 9313174 18626348 23282935 46565870 93131740