Search a number
-
+
6977052 = 22322941163
BaseRepresentation
bin11010100111011000011100
3111010110201100
4122213120130
53241231202
6405313100
7113206155
oct32473034
914113640
106977052
113a35a65
122405790
1315a3944
14cd892c
1592c41c
hex6a761c

6977052 has 72 divisors (see below), whose sum is σ = 18804240. Its totient is φ = 2177280.

The previous prime is 6977041. The next prime is 6977057. The reversal of 6977052 is 2507796.

It is a super-2 number, since 2×69770522 = 97358509221408, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 6976998 and 6977016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6977057) 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, 42723 + ... + 42885.

It is an arithmetic number, because the mean of its divisors is an integer number (261170).

Almost surely, 26977052 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 6977052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402120).

6977052 is an abundant number, since it is smaller than the sum of its proper divisors (11827188).

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

6977052 is a wasteful number, since it uses less digits than its factorization.

6977052 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 26460, while the sum is 36.

The square root of 6977052 is about 2641.4109865752. The cubic root of 6977052 is about 191.0838515994.

The spelling of 6977052 in words is "six million, nine hundred seventy-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 82 87 116 123 163 164 174 246 261 326 348 369 489 492 522 652 738 978 1044 1189 1467 1476 1956 2378 2934 3567 4727 4756 5868 6683 7134 9454 10701 13366 14181 14268 18908 20049 21402 26732 28362 40098 42543 42804 56724 60147 80196 85086 120294 170172 193807 240588 387614 581421 775228 1162842 1744263 2325684 3488526 6977052