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13923456 = 273101359
BaseRepresentation
bin110101000111…
…010010000000
3222012101101120
4311013102000
512031022311
61214232240
7226230111
oct65072200
928171346
1013923456
11794a998
1247b5680
132b66641
141bc6208
151350706
hexd47480

13923456 has 64 divisors (see below), whose sum is σ = 37454400. Its totient is φ = 4582400.

The previous prime is 13923439. The next prime is 13923457. The reversal of 13923456 is 65432931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13923457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38605 + ... + 38963.

It is an arithmetic number, because the mean of its divisors is an integer number (585225).

Almost surely, 213923456 is an apocalyptic number.

13923456 is a gapful number since it is divisible by the number (16) 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 13923456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18727200).

13923456 is an abundant number, since it is smaller than the sum of its proper divisors (23530944).

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

13923456 is a wasteful number, since it uses less digits than its factorization.

13923456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 13923456 is about 3731.4147451067. The cubic root of 13923456 is about 240.5741807786.

The spelling of 13923456 in words is "thirteen million, nine hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 359 384 404 606 718 808 1077 1212 1436 1616 2154 2424 2872 3232 4308 4848 5744 6464 8616 9696 11488 12928 17232 19392 22976 34464 36259 38784 45952 68928 72518 108777 137856 145036 217554 290072 435108 580144 870216 1160288 1740432 2320576 3480864 4641152 6961728 13923456