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13713948 = 22364703
BaseRepresentation
bin110100010100…
…001000011100
3221210202000000
4310110020130
512002321243
61205534300
7224365233
oct64241034
927722000
1013713948
117817546
124714390
132ac2181
141b6db1a
15130d5d3
hexd1421c

13713948 has 42 divisors (see below), whose sum is σ = 35990304. Its totient is φ = 4570344.

The previous prime is 13713941. The next prime is 13713949. The reversal of 13713948 is 84931731.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13713941) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 565 + ... + 5267.

It is an arithmetic number, because the mean of its divisors is an integer number (856912).

Almost surely, 213713948 is an apocalyptic number.

13713948 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 13713948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17995152).

13713948 is an abundant number, since it is smaller than the sum of its proper divisors (22276356).

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

13713948 is an equidigital number, since it uses as much as digits as its factorization.

13713948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4708 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 13713948 is about 3703.2348021696. The cubic root of 13713948 is about 239.3614274448.

The spelling of 13713948 in words is "thirteen million, seven hundred thirteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4703 9406 14109 18812 28218 42327 56436 84654 126981 169308 253962 380943 507924 761886 1142829 1523772 2285658 3428487 4571316 6856974 13713948