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13730340 = 22351329607
BaseRepresentation
bin110100011000…
…001000100100
3221211120111010
4310120020210
512003332330
61210142220
7224464101
oct64301044
927746433
1013730340
117828898
124721970
132ac9780
141b75aa8
1513133b0
hexd18224

13730340 has 96 divisors (see below), whose sum is σ = 42900480. Its totient is φ = 3257856.

The previous prime is 13730329. The next prime is 13730341. The reversal of 13730340 is 4303731.

It is not an unprimeable number, because it can be changed into a prime (13730341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22317 + ... + 22923.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 213730340 is an apocalyptic number.

13730340 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 13730340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450240).

13730340 is an abundant number, since it is smaller than the sum of its proper divisors (29170140).

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

13730340 is a wasteful number, since it uses less digits than its factorization.

13730340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 13730340 is about 3705.4473414151. The cubic root of 13730340 is about 239.4567574034.

The spelling of 13730340 in words is "thirteen million, seven hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 607 754 780 870 1131 1214 1508 1740 1821 1885 2262 2428 3035 3642 3770 4524 5655 6070 7284 7540 7891 9105 11310 12140 15782 17603 18210 22620 23673 31564 35206 36420 39455 47346 52809 70412 78910 88015 94692 105618 118365 157820 176030 211236 228839 236730 264045 352060 457678 473460 528090 686517 915356 1056180 1144195 1373034 2288390 2746068 3432585 4576780 6865170 13730340