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13937430 = 2351322749
BaseRepresentation
bin110101001010…
…101100010110
3222020002120010
4311022230112
512031444210
61214421050
7226315623
oct65125426
928202503
1013937430
11795a441
124801786
132b6cb00
141bcb34a
151354920
hexd4ab16

13937430 has 48 divisors (see below), whose sum is σ = 36234000. Its totient is φ = 3429504.

The previous prime is 13937423. The next prime is 13937437. The reversal of 13937430 is 3473931.

13937430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13937423) and next prime (13937437).

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 (13937437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3696 + ... + 6444.

It is an arithmetic number, because the mean of its divisors is an integer number (754875).

Almost surely, 213937430 is an apocalyptic number.

13937430 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 13937430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18117000).

13937430 is an abundant number, since it is smaller than the sum of its proper divisors (22296570).

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

13937430 is a wasteful number, since it uses less digits than its factorization.

13937430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 13937430 is about 3733.2867556618. The cubic root of 13937430 is about 240.6546363677.

The spelling of 13937430 in words is "thirteen million, nine hundred thirty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 2749 5070 5498 8247 13745 16494 27490 35737 41235 71474 82470 107211 178685 214422 357370 464581 536055 929162 1072110 1393743 2322905 2787486 4645810 6968715 13937430