Search a number
-
+
123872028 = 223713111257
BaseRepresentation
bin1110110001000…
…10001100011100
322122002100110220
413120202030130
5223202401103
620143001340
73032615640
oct730421434
9278070426
10123872028
1163a16985
1235599250
131c881477
1412646c20
15ad1cc53
hex762231c

123872028 has 48 divisors (see below), whose sum is σ = 332876544. Its totient is φ = 35118720.

The previous prime is 123872009. The next prime is 123872051. The reversal of 123872028 is 820278321.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 123872028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5376 + ... + 16632.

It is an arithmetic number, because the mean of its divisors is an integer number (6934928).

Almost surely, 2123872028 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 123872028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166438272).

123872028 is an abundant number, since it is smaller than the sum of its proper divisors (209004516).

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

123872028 is a wasteful number, since it uses less digits than its factorization.

123872028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11402 (or 11400 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 123872028 is about 11129.7811299234. The cubic root of 123872028 is about 498.4914907098.

The spelling of 123872028 in words is "one hundred twenty-three million, eight hundred seventy-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 11257 22514 33771 45028 67542 78799 135084 157598 236397 315196 472794 945588 1474667 2949334 4424001 5898668 8848002 10322669 17696004 20645338 30968007 41290676 61936014 123872028