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10714340 = 2257213292
BaseRepresentation
bin101000110111…
…110011100100
3202011100022102
4220313303210
510220324330
61021351232
7160033100
oct50676344
922140272
1010714340
11605892a
123708518
1322b1a60
1415cc900
15e19945
hexa37ce4

10714340 has 108 divisors (see below), whose sum is σ = 29192436. Its totient is φ = 3273984.

The previous prime is 10714339. The next prime is 10714367. The reversal of 10714340 is 4341701.

It can be written as a sum of positive squares in 6 ways, for example, as 614656 + 10099684 = 784^2 + 3178^2 .

It is a super-2 number, since 2×107143402 = 229594163271200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 369446 + ... + 369474.

Almost surely, 210714340 is an apocalyptic number.

10714340 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 10714340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596218).

10714340 is an abundant number, since it is smaller than the sum of its proper divisors (18478096).

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

10714340 is a wasteful number, since it uses less digits than its factorization.

10714340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10714340 is about 3273.2766458092. The cubic root of 10714340 is about 220.4559414785.

The spelling of 10714340 in words is "ten million, seven hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 49 52 58 65 70 91 98 116 130 140 145 182 196 203 245 260 290 364 377 406 455 490 580 637 754 812 841 910 980 1015 1274 1421 1508 1682 1820 1885 2030 2548 2639 2842 3185 3364 3770 4060 4205 5278 5684 5887 6370 7105 7540 8410 10556 10933 11774 12740 13195 14210 16820 18473 21866 23548 26390 28420 29435 36946 41209 43732 52780 54665 58870 73892 76531 82418 92365 109330 117740 153062 164836 184730 206045 218660 306124 369460 382655 412090 535717 765310 824180 1071434 1530620 2142868 2678585 5357170 10714340