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13820112 = 243331991
BaseRepresentation
bin110100101110…
…000011010000
3222000010122000
4310232003100
512014220422
61212114000
7225316605
oct64560320
928003560
1013820112
11788a289
124765900
132b2b5a7
141b9a6ac
15132ecac
hexd2e0d0

13820112 has 40 divisors (see below), whose sum is σ = 39670080. Its totient is φ = 4606560.

The previous prime is 13820111. The next prime is 13820113. The reversal of 13820112 is 21102831.

It is an interprime number because it is at equal distance from previous prime (13820111) and next prime (13820113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13820111) 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, 15564 + ... + 16427.

It is an arithmetic number, because the mean of its divisors is an integer number (991752).

Almost surely, 213820112 is an apocalyptic number.

13820112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13820112 is an abundant number, since it is smaller than the sum of its proper divisors (25849968).

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

13820112 is a wasteful number, since it uses less digits than its factorization.

13820112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32008 (or 31996 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13820112 is about 3717.5411228391. The cubic root of 13820112 is about 239.9774978903.

Adding to 13820112 its reverse (21102831), we get a palindrome (34922943).

The spelling of 13820112 in words is "thirteen million, eight hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 31991 63982 95973 127964 191946 255928 287919 383892 511856 575838 767784 863757 1151676 1535568 1727514 2303352 3455028 4606704 6910056 13820112