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10713400 = 23521723137
BaseRepresentation
bin101000110111…
…100100111000
3202011022000121
4220313210320
510220312100
61021343024
7160030255
oct50674470
922138017
1010713400
116058155
123707a74
1322b14b9
1415cc42c
15e1951a
hexa37938

10713400 has 96 divisors (see below), whose sum is σ = 27721440. Its totient is φ = 3829760.

The previous prime is 10713389. The next prime is 10713413. The reversal of 10713400 is 431701.

10713400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107134002 = 229553879120000, 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, 78132 + ... + 78268.

It is an arithmetic number, because the mean of its divisors is an integer number (288765).

Almost surely, 210713400 is an apocalyptic number.

10713400 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 10713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860720).

10713400 is an abundant number, since it is smaller than the sum of its proper divisors (17008040).

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

10713400 is a wasteful number, since it uses less digits than its factorization.

10713400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10713400 is about 3273.1330556517. The cubic root of 10713400 is about 220.4494942111.

The spelling of 10713400 in words is "ten million, seven hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 23 25 34 40 46 50 68 85 92 100 115 136 137 170 184 200 230 274 340 391 425 460 548 575 680 685 782 850 920 1096 1150 1370 1564 1700 1955 2300 2329 2740 3128 3151 3400 3425 3910 4600 4658 5480 6302 6850 7820 9316 9775 11645 12604 13700 15640 15755 18632 19550 23290 25208 27400 31510 39100 46580 53567 58225 63020 78200 78775 93160 107134 116450 126040 157550 214268 232900 267835 315100 428536 465800 535670 630200 1071340 1339175 2142680 2678350 5356700 10713400