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138305028 = 223194314107
BaseRepresentation
bin10000011111001…
…01111000000100
3100122020121211110
420033211320010
5240401230103
621420205020
73266400441
oct1017457004
9318217743
10138305028
1171084684
123a399770
13228659c4
14145229c8
15c21e403
hex83e5e04

138305028 has 48 divisors (see below), whose sum is σ = 347621120. Its totient is φ = 42656544.

The previous prime is 138305017. The next prime is 138305029. The reversal of 138305028 is 820503831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 138304986 and 138305004.

It is not an unprimeable number, because it can be changed into a prime (138305029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2751 + ... + 16857.

Almost surely, 2138305028 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 138305028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173810560).

138305028 is an abundant number, since it is smaller than the sum of its proper divisors (209316092).

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

138305028 is a wasteful number, since it uses less digits than its factorization.

138305028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14176 (or 14174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 138305028 is about 11760.3158120860. The cubic root of 138305028 is about 517.1453884649.

Adding to 138305028 its reverse (820503831), we get a palindrome (958808859).

The spelling of 138305028 in words is "one hundred thirty-eight million, three hundred five thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1634 2451 3268 4902 9804 14107 28214 42321 56428 84642 169284 268033 536066 606601 804099 1072132 1213202 1608198 1819803 2426404 3216396 3639606 7279212 11525419 23050838 34576257 46101676 69152514 138305028