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13928070 = 2351371503
BaseRepresentation
bin110101001000…
…011010000110
3222012121201110
4311020122012
512031144240
61214305450
7226246422
oct65103206
928177643
1013928070
117953402
1247b8286
132b68780
141bc7b82
151351c80
hexd48686

13928070 has 64 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 3373440.

The previous prime is 13928059. The next prime is 13928077. The reversal of 13928070 is 7082931.

It is a happy number.

It is a super-2 number, since 2×139280702 = 387982267849800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13928077) 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, 27439 + ... + 27941.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 213928070 is an apocalyptic number.

13928070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13928070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

13928070 is an abundant number, since it is smaller than the sum of its proper divisors (22650234).

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

13928070 is a wasteful number, since it uses less digits than its factorization.

13928070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13928070 is about 3732.0329580538. The cubic root of 13928070 is about 240.6007519277.

The spelling of 13928070 in words is "thirteen million, nine hundred twenty-eight thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 142 195 213 355 390 426 503 710 923 1006 1065 1509 1846 2130 2515 2769 3018 4615 5030 5538 6539 7545 9230 13078 13845 15090 19617 27690 32695 35713 39234 65390 71426 98085 107139 178565 196170 214278 357130 464269 535695 928538 1071390 1392807 2321345 2785614 4642690 6964035 13928070