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13923390 = 23513191879
BaseRepresentation
bin110101000111…
…010000111110
3222012101022010
4311013100332
512031022030
61214232050
7226226655
oct65072076
928171263
1013923390
11794a938
1247b5626
132b665c0
141bc619c
1513506b0
hexd4743e

13923390 has 64 divisors (see below), whose sum is σ = 37900800. Its totient is φ = 3245184.

The previous prime is 13923389. The next prime is 13923397. The reversal of 13923390 is 9332931.

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 (13923397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6471 + ... + 8349.

It is an arithmetic number, because the mean of its divisors is an integer number (592200).

Almost surely, 213923390 is an apocalyptic number.

13923390 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 13923390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18950400).

13923390 is an abundant number, since it is smaller than the sum of its proper divisors (23977410).

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

13923390 is a wasteful number, since it uses less digits than its factorization.

13923390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 13923390 is about 3731.4059012656. The cubic root of 13923390 is about 240.5738006545.

The spelling of 13923390 in words is "thirteen million, nine hundred twenty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 1879 2470 3705 3758 5637 7410 9395 11274 18790 24427 28185 35701 48854 56370 71402 73281 107103 122135 146562 178505 214206 244270 357010 366405 464113 535515 732810 928226 1071030 1392339 2320565 2784678 4641130 6961695 13923390