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10597140 = 22325113521
BaseRepresentation
bin101000011011…
…001100010100
3201221101112200
4220123030110
510203102030
61015044500
7156034311
oct50331424
921841480
1010597140
115a88874
123670730
1322705c8
14159bd08
15de4d60
hexa1b314

10597140 has 72 divisors (see below), whose sum is σ = 32491368. Its totient is φ = 2795520.

The previous prime is 10597129. The next prime is 10597157. The reversal of 10597140 is 4179501.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 10458756 = 372^2 + 3234^2 .

It is a super-2 number, since 2×105971402 = 224598752359200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20080 + ... + 20600.

It is an arithmetic number, because the mean of its divisors is an integer number (451269).

Almost surely, 210597140 is an apocalyptic number.

10597140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10597140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16245684).

10597140 is an abundant number, since it is smaller than the sum of its proper divisors (21894228).

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

10597140 is a wasteful number, since it uses less digits than its factorization.

10597140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10597140 is about 3255.3248685807. The cubic root of 10597140 is about 219.6491653382.

The spelling of 10597140 in words is "ten million, five hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 521 565 678 1017 1042 1130 1356 1563 1695 2034 2084 2260 2605 3126 3390 4068 4689 5085 5210 6252 6780 7815 9378 10170 10420 15630 18756 20340 23445 31260 46890 58873 93780 117746 176619 235492 294365 353238 529857 588730 706476 883095 1059714 1177460 1766190 2119428 2649285 3532380 5298570 10597140