Search a number
-
+
7123068 = 223217103113
BaseRepresentation
bin11011001011000001111100
3111101220000100
4123023001330
53310414233
6412401100
7114354651
oct33130174
914356010
107123068
114025737
122476190
131625244
14d35c28
1595a813
hex6cb07c

7123068 has 72 divisors (see below), whose sum is σ = 19420128. Its totient is φ = 2193408.

The previous prime is 7123063. The next prime is 7123073. The reversal of 7123068 is 8603217.

It is an interprime number because it is at equal distance from previous prime (7123063) and next prime (7123073).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7123063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62980 + ... + 63092.

It is an arithmetic number, because the mean of its divisors is an integer number (269724).

Almost surely, 27123068 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 7123068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710064).

7123068 is an abundant number, since it is smaller than the sum of its proper divisors (12297060).

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

7123068 is a wasteful number, since it uses less digits than its factorization.

7123068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7123068 is about 2668.9076417141. The cubic root of 7123068 is about 192.4076624672.

The spelling of 7123068 in words is "seven million, one hundred twenty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 113 153 204 206 226 306 309 339 412 452 612 618 678 927 1017 1236 1356 1751 1854 1921 2034 3502 3708 3842 4068 5253 5763 7004 7684 10506 11526 11639 15759 17289 21012 23052 23278 31518 34578 34917 46556 63036 69156 69834 104751 139668 197863 209502 395726 419004 593589 791452 1187178 1780767 2374356 3561534 7123068