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13925340 = 223251113541
BaseRepresentation
bin110101000111…
…101111011100
3222012110222100
4311013233130
512031102330
61214245100
7226235442
oct65075734
928173870
1013925340
117951350
1247b6790
132b67460
141bc6b92
151351060
hexd47bdc

13925340 has 144 divisors (see below), whose sum is σ = 49716576. Its totient is φ = 3110400.

The previous prime is 13925333. The next prime is 13925341. The reversal of 13925340 is 4352931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13925341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25470 + ... + 26010.

It is an arithmetic number, because the mean of its divisors is an integer number (345254).

Almost surely, 213925340 is an apocalyptic number.

13925340 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 13925340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24858288).

13925340 is an abundant number, since it is smaller than the sum of its proper divisors (35791236).

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

13925340 is a wasteful number, since it uses less digits than its factorization.

13925340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13925340 is about 3731.6671877326. The cubic root of 13925340 is about 240.5850310855.

The spelling of 13925340 in words is "thirteen million, nine hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 541 572 585 660 715 780 858 990 1082 1170 1287 1430 1623 1716 1980 2145 2164 2340 2574 2705 2860 3246 4290 4869 5148 5410 5951 6435 6492 7033 8115 8580 9738 10820 11902 12870 14066 16230 17853 19476 21099 23804 24345 25740 28132 29755 32460 35165 35706 42198 48690 53559 59510 63297 70330 71412 77363 84396 89265 97380 105495 107118 119020 126594 140660 154726 178530 210990 214236 232089 253188 267795 309452 316485 357060 386815 421980 464178 535590 632970 696267 773630 928356 1071180 1160445 1265940 1392534 1547260 2320890 2785068 3481335 4641780 6962670 13925340