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13942124 = 2271973359
BaseRepresentation
bin110101001011…
…110101101100
3222020022222222
4311023311230
512032121444
61214454512
7226335410
oct65136554
928208888
1013942124
117962a19
124804438
132b71ca1
141bccd40
151355eee
hexd4bd6c

13942124 has 48 divisors (see below), whose sum is σ = 29836800. Its totient is φ = 5567616.

The previous prime is 13942121. The next prime is 13942133. The reversal of 13942124 is 42124931.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 13942093 and 13942102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13942121) 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, 38657 + ... + 39015.

It is an arithmetic number, because the mean of its divisors is an integer number (621600).

Almost surely, 213942124 is an apocalyptic number.

13942124 is a gapful number since it is divisible by the number (14) 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 13942124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14918400).

13942124 is an abundant number, since it is smaller than the sum of its proper divisors (15894676).

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

13942124 is a wasteful number, since it uses less digits than its factorization.

13942124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 13942124 is about 3733.9153712959. The cubic root of 13942124 is about 240.6816501015.

The spelling of 13942124 in words is "thirteen million, nine hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 73 76 133 146 266 292 359 511 532 718 1022 1387 1436 2044 2513 2774 5026 5548 6821 9709 10052 13642 19418 26207 27284 38836 47747 52414 95494 104828 183449 190988 366898 497933 733796 995866 1991732 3485531 6971062 13942124