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3116124 = 2233114361
BaseRepresentation
bin1011111000110001011100
312212022112000
423320301130
51244203444
6150442300
735325624
oct13706134
95768460
103116124
111839210
121063390
1385147b
145b1884
15418469
hex2f8c5c

3116124 has 96 divisors (see below), whose sum is σ = 9166080. Its totient is φ = 907200.

The previous prime is 3116111. The next prime is 3116129. The reversal of 3116124 is 4216113.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3116097 and 3116106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51054 + ... + 51114.

It is an arithmetic number, because the mean of its divisors is an integer number (95480).

Almost surely, 23116124 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 3116124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583040).

3116124 is an abundant number, since it is smaller than the sum of its proper divisors (6049956).

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

3116124 is a wasteful number, since it uses less digits than its factorization.

3116124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

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

The square root of 3116124 is about 1765.2546558500. The cubic root of 3116124 is about 146.0623365509.

It can be divided in two parts, 3116 and 124, that added together give a triangular number (3240 = T80).

The spelling of 3116124 in words is "three million, one hundred sixteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 61 66 86 99 108 122 129 132 172 183 198 244 258 297 366 387 396 473 516 549 594 671 732 774 946 1098 1161 1188 1342 1419 1548 1647 1892 2013 2196 2322 2623 2684 2838 3294 4026 4257 4644 5246 5676 6039 6588 7869 8052 8514 10492 12078 12771 15738 17028 18117 23607 24156 25542 28853 31476 36234 47214 51084 57706 70821 72468 86559 94428 115412 141642 173118 259677 283284 346236 519354 779031 1038708 1558062 3116124