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13710928 = 2471131359
BaseRepresentation
bin110100010011…
…011001010000
3221210120212011
4310103121100
512002222203
61205512304
7224353360
oct64233120
927716764
1013710928
117815250
124712694
132ac099a
141b6c9a0
15130c76d
hexd13650

13710928 has 80 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 5155200.

The previous prime is 13710923. The next prime is 13710929. The reversal of 13710928 is 82901731.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 13710928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13710923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38013 + ... + 38371.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 213710928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13710928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

13710928 is an abundant number, since it is smaller than the sum of its proper divisors (20572592).

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

13710928 is a wasteful number, since it uses less digits than its factorization.

13710928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 13710928 is about 3702.8270280962. The cubic root of 13710928 is about 239.3438559286.

The spelling of 13710928 in words is "thirteen million, seven hundred ten thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 359 434 496 616 682 718 868 1232 1364 1436 1736 2387 2513 2728 2872 3472 3949 4774 5026 5456 5744 7898 9548 10052 11129 15796 19096 20104 22258 27643 31592 38192 40208 44516 55286 63184 77903 89032 110572 122419 155806 178064 221144 244838 311612 442288 489676 623224 856933 979352 1246448 1713866 1958704 3427732 6855464 13710928