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3116820 = 2235741181
BaseRepresentation
bin1011111000111100010100
312212100110210
423320330110
51244214240
6150445420
735330640
oct13707424
95770423
103116820
111839793
121063870
13851895
145b1c20
15418780
hex2f8f14

3116820 has 96 divisors (see below), whose sum is σ = 10273536. Its totient is φ = 691200.

The previous prime is 3116819. The next prime is 3116837. The reversal of 3116820 is 286113.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17130 + ... + 17310.

It is an arithmetic number, because the mean of its divisors is an integer number (107016).

Almost surely, 23116820 is an apocalyptic number.

3116820 is a gapful number since it is divisible by the number (30) 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 3116820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136768).

3116820 is an abundant number, since it is smaller than the sum of its proper divisors (7156716).

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

3116820 is a wasteful number, since it uses less digits than its factorization.

3116820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 3116820 is about 1765.4517835387. The cubic root of 3116820 is about 146.0732102965.

The spelling of 3116820 in words is "three million, one hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 181 205 210 246 287 362 410 420 492 543 574 615 724 820 861 905 1086 1148 1230 1267 1435 1722 1810 2172 2460 2534 2715 2870 3444 3620 3801 4305 5068 5430 5740 6335 7421 7602 8610 10860 12670 14842 15204 17220 19005 22263 25340 29684 37105 38010 44526 51947 74210 76020 89052 103894 111315 148420 155841 207788 222630 259735 311682 445260 519470 623364 779205 1038940 1558410 3116820