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13870128 = 2431012861
BaseRepresentation
bin110100111010…
…010000110000
3222002200020110
4310322100300
512022321003
61213141320
7225615456
oct64722060
928080213
1013870128
117913918
12478a840
132b4829c
141bb09d6
15133ea03
hexd3a430

13870128 has 40 divisors (see below), whose sum is σ = 36198576. Its totient is φ = 4576000.

The previous prime is 13870121. The next prime is 13870151. The reversal of 13870128 is 82107831.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13870095 and 13870104.

It is not an unprimeable number, because it can be changed into a prime (13870121) 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, 3418 + ... + 6278.

Almost surely, 213870128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13870128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18099288).

13870128 is an abundant number, since it is smaller than the sum of its proper divisors (22328448).

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

13870128 is a wasteful number, since it uses less digits than its factorization.

13870128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 13870128 is about 3724.2620745592. The cubic root of 13870128 is about 240.2666480797.

Adding to 13870128 its reverse (82107831), we get a palindrome (95977959).

The spelling of 13870128 in words is "thirteen million, eight hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 2861 4848 5722 8583 11444 17166 22888 34332 45776 68664 137328 288961 577922 866883 1155844 1733766 2311688 3467532 4623376 6935064 13870128