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6116022 = 23211172379
BaseRepresentation
bin10111010101001010110110
3102111201121100
4113111022312
53031203042
6335030530
7102661653
oct27251266
912451540
106116022
1134a8070
12206b446
131361a63
14b52c2a
1580c24c
hex5d52b6

6116022 has 96 divisors (see below), whose sum is σ = 16174080. Its totient is φ = 1647360.

The previous prime is 6116009. The next prime is 6116023. The reversal of 6116022 is 2206116.

It is a happy number.

6116022 is a `hidden beast` number, since 61 + 1 + 602 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6115986 and 6116004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6116023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77379 + ... + 77457.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

Almost surely, 26116022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6116022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087040).

6116022 is an abundant number, since it is smaller than the sum of its proper divisors (10058058).

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

6116022 is a wasteful number, since it uses less digits than its factorization.

6116022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6116022 is about 2473.0592390802. The cubic root of 6116022 is about 182.8758451969.

The spelling of 6116022 in words is "six million, one hundred sixteen thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 23 33 34 46 51 66 69 79 99 102 138 153 158 187 198 207 237 253 306 374 391 414 474 506 561 711 759 782 869 1122 1173 1343 1422 1518 1683 1738 1817 2277 2346 2607 2686 3366 3519 3634 4029 4301 4554 5214 5451 7038 7821 8058 8602 10902 12087 12903 14773 15642 16353 19987 24174 25806 29546 30889 32706 38709 39974 44319 59961 61778 77418 88638 92667 119922 132957 179883 185334 265914 278001 339779 359766 556002 679558 1019337 2038674 3058011 6116022