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13928040 = 2332575527
BaseRepresentation
bin110101001000…
…011001101000
3222012121200100
4311020121220
512031144130
61214305400
7226246350
oct65103150
928177610
1013928040
117953385
1247b8260
132b68759
141bc7b60
151351c60
hexd48668

13928040 has 96 divisors (see below), whose sum is σ = 51742080. Its totient is φ = 3182976.

The previous prime is 13928003. The next prime is 13928059. The reversal of 13928040 is 4082931.

It is a junction number, because it is equal to n+sod(n) for n = 13927995 and 13928013.

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, 244 + ... + 5283.

It is an arithmetic number, because the mean of its divisors is an integer number (538980).

Almost surely, 213928040 is an apocalyptic number.

13928040 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 13928040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25871040).

13928040 is an abundant number, since it is smaller than the sum of its proper divisors (37814040).

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

13928040 is a wasteful number, since it uses less digits than its factorization.

13928040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13928040 is about 3732.0289387946. The cubic root of 13928040 is about 240.6005791824.

The spelling of 13928040 in words is "thirteen million, nine hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5527 11054 16581 22108 27635 33162 38689 44216 49743 55270 66324 77378 82905 99486 110540 116067 132648 154756 165810 193445 198972 221080 232134 248715 309512 331620 348201 386890 397944 464268 497430 580335 663240 696402 773780 928536 994860 1160670 1392804 1547560 1741005 1989720 2321340 2785608 3482010 4642680 6964020 13928040