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13923630 = 2335753139
BaseRepresentation
bin110101000111…
…010100101110
3222012101122000
4311013110232
512031024010
61214233130
7226230450
oct65072456
928171560
1013923630
117950036
1247b57a6
132b66746
141bc62d0
1513507c0
hexd4752e

13923630 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 3100032.

The previous prime is 13923617. The next prime is 13923631. The reversal of 13923630 is 3632931.

13923630 is a `hidden beast` number, since 1 + 3 + 9 + 23 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13923594 and 13923603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13923631) 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 63 ways as a sum of consecutive naturals, for example, 100101 + ... + 100239.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 213923630 is an apocalyptic number.

13923630 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 13923630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

13923630 is an abundant number, since it is smaller than the sum of its proper divisors (29621970).

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

13923630 is a wasteful number, since it uses less digits than its factorization.

13923630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 13923630 is about 3731.4380605874. The cubic root of 13923630 is about 240.5751829180.

The spelling of 13923630 in words is "thirteen million, nine hundred twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 90 105 106 126 135 139 159 189 210 265 270 278 315 318 371 378 417 477 530 630 695 742 795 834 945 954 973 1113 1251 1390 1431 1590 1855 1890 1946 2085 2226 2385 2502 2862 2919 3339 3710 3753 4170 4770 4865 5565 5838 6255 6678 7155 7367 7506 8757 9730 10017 11130 12510 14310 14595 14734 16695 17514 18765 20034 22101 26271 29190 33390 36835 37530 43785 44202 50085 51569 52542 66303 73670 87570 100170 103138 110505 131355 132606 154707 198909 221010 257845 262710 309414 331515 397818 464121 515690 663030 773535 928242 994545 1392363 1547070 1989090 2320605 2784726 4641210 6961815 13923630