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13702380 = 22354347113
BaseRepresentation
bin110100010001…
…010011101100
3221210011010120
4310101103230
512001434010
61205404540
7224316426
oct64212354
927704116
1013702380
11780988a
124709750
132ab9b23
141b69816
151309e70
hexd114ec

13702380 has 96 divisors (see below), whose sum is σ = 40449024. Its totient is φ = 3462144.

The previous prime is 13702379. The next prime is 13702393. The reversal of 13702380 is 8320731.

It is a self number, because there is not a number n which added to its sum of digits gives 13702380.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121204 + ... + 121316.

It is an arithmetic number, because the mean of its divisors is an integer number (421344).

Almost surely, 213702380 is an apocalyptic number.

13702380 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 13702380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224512).

13702380 is an abundant number, since it is smaller than the sum of its proper divisors (26746644).

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

13702380 is a wasteful number, since it uses less digits than its factorization.

13702380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13702380 is about 3701.6725949225. The cubic root of 13702380 is about 239.2941064003.

The spelling of 13702380 in words is "thirteen million, seven hundred two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 47 60 86 94 113 129 141 172 188 215 226 235 258 282 339 430 452 470 516 564 565 645 678 705 860 940 1130 1290 1356 1410 1695 2021 2260 2580 2820 3390 4042 4859 5311 6063 6780 8084 9718 10105 10622 12126 14577 15933 19436 20210 21244 24252 24295 26555 29154 30315 31866 40420 48590 53110 58308 60630 63732 72885 79665 97180 106220 121260 145770 159330 228373 291540 318660 456746 685119 913492 1141865 1370238 2283730 2740476 3425595 4567460 6851190 13702380