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13923648 = 2632231051
BaseRepresentation
bin110101000111…
…010101000000
3222012101122200
4311013111000
512031024043
61214233200
7226230504
oct65072500
928171580
1013923648
117950052
1247b5800
132b6675b
141bc6304
1513507d3
hexd47540

13923648 has 84 divisors (see below), whose sum is σ = 41684448. Its totient is φ = 4435200.

The previous prime is 13923631. The next prime is 13923649. The reversal of 13923648 is 84632931.

13923648 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13923649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12723 + ... + 13773.

Almost surely, 213923648 is an apocalyptic number.

13923648 is a gapful number since it is divisible by the number (18) 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 13923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20842224).

13923648 is an abundant number, since it is smaller than the sum of its proper divisors (27760800).

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

13923648 is a wasteful number, since it uses less digits than its factorization.

13923648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1079 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13923648 is about 3731.4404725253. The cubic root of 13923648 is about 240.5752865871.

The spelling of 13923648 in words is "thirteen million, nine hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1051 1104 1472 1656 2102 2208 3153 3312 4204 4416 6306 6624 8408 9459 12612 13248 16816 18918 24173 25224 33632 37836 48346 50448 67264 72519 75672 96692 100896 145038 151344 193384 201792 217557 290076 302688 386768 435114 580152 605376 773536 870228 1160304 1547072 1740456 2320608 3480912 4641216 6961824 13923648