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13928460 = 22357132551
BaseRepresentation
bin110101001000…
…100000001100
3222012122020220
4311020200030
512031202320
61214311340
7226250520
oct65104014
928178226
1013928460
117953727
1247b8550
132b689c0
141bc7d80
151351e40
hexd4880c

13928460 has 96 divisors (see below), whose sum is σ = 48018432. Its totient is φ = 2937600.

The previous prime is 13928459. The next prime is 13928461. The reversal of 13928460 is 6482931.

It is an interprime number because it is at equal distance from previous prime (13928459) and next prime (13928461).

It is not an unprimeable number, because it can be changed into a prime (13928461) 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, 4185 + ... + 6735.

It is an arithmetic number, because the mean of its divisors is an integer number (500192).

Almost surely, 213928460 is an apocalyptic number.

13928460 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 13928460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24009216).

13928460 is an abundant number, since it is smaller than the sum of its proper divisors (34089972).

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

13928460 is a wasteful number, since it uses less digits than its factorization.

13928460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 13928460 is about 3732.0852080305. The cubic root of 13928460 is about 240.6029975946.

The spelling of 13928460 in words is "thirteen million, nine hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2551 2730 5102 5460 7653 10204 12755 15306 17857 25510 30612 33163 35714 38265 51020 53571 66326 71428 76530 89285 99489 107142 132652 153060 165815 178570 198978 214284 232141 267855 331630 357140 397956 464282 497445 535710 663260 696423 928564 994890 1071420 1160705 1392846 1989780 2321410 2785692 3482115 4642820 6964230 13928460