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3116988 = 2233721931
BaseRepresentation
bin1011111000111110111100
312212100201000
423320332330
51244220423
6150450300
735331300
oct13707674
95770630
103116988
111839926
121063990
13851994
145b1d00
15418843
hex2f8fbc

3116988 has 144 divisors (see below), whose sum is σ = 10214400. Its totient is φ = 816480.

The previous prime is 3116977. The next prime is 3116999. The reversal of 3116988 is 8896113.

It is an interprime number because it is at equal distance from previous prime (3116977) and next prime (3116999).

It is a super-2 number, since 2×31169882 = 19431228384288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100533 + ... + 100563.

Almost surely, 23116988 is an apocalyptic number.

3116988 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107200).

3116988 is an abundant number, since it is smaller than the sum of its proper divisors (7097412).

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

3116988 is a wasteful number, since it uses less digits than its factorization.

3116988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 62 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 3116988 is about 1765.4993627866. The cubic root of 3116988 is about 146.0758347511.

The spelling of 3116988 in words is "three million, one hundred sixteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 31 36 38 42 49 54 57 62 63 76 84 93 98 108 114 124 126 133 147 171 186 189 196 217 228 252 266 279 294 342 372 378 399 434 441 513 532 558 588 589 651 684 756 798 837 868 882 931 1026 1116 1178 1197 1302 1323 1519 1596 1674 1764 1767 1862 1953 2052 2356 2394 2604 2646 2793 3038 3348 3534 3591 3724 3906 4123 4557 4788 5292 5301 5586 5859 6076 7068 7182 7812 8246 8379 9114 10602 11172 11718 12369 13671 14364 15903 16492 16758 18228 21204 23436 24738 25137 27342 28861 31806 33516 37107 41013 49476 50274 54684 57722 63612 74214 82026 86583 100548 111321 115444 148428 164052 173166 222642 259749 346332 445284 519498 779247 1038996 1558494 3116988