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3790116 = 22321117563
BaseRepresentation
bin1110011101010100100100
321010120001200
432131110210
51432240431
6213122500
744133621
oct16352444
97116050
103790116
112159630
121329430
13a29195
14709348
154ecee6
hex39d524

3790116 has 72 divisors (see below), whose sum is σ = 11085984. Its totient is φ = 1079040.

The previous prime is 3790103. The next prime is 3790121. The reversal of 3790116 is 6110973.

3790116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×37901163 (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3790116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6451 + ... + 7013.

It is an arithmetic number, because the mean of its divisors is an integer number (153972).

Almost surely, 23790116 is an apocalyptic number.

3790116 is a gapful number since it is divisible by the number (36) 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 3790116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542992).

3790116 is an abundant number, since it is smaller than the sum of its proper divisors (7295868).

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

3790116 is a wasteful number, since it uses less digits than its factorization.

3790116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 3790116 is about 1946.8220257640. The cubic root of 3790116 is about 155.9136603101.

The spelling of 3790116 in words is "three million, seven hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 563 612 748 1122 1126 1683 1689 2244 2252 3366 3378 5067 6193 6732 6756 9571 10134 12386 18579 19142 20268 24772 28713 37158 38284 55737 57426 74316 86139 105281 111474 114852 172278 210562 222948 315843 344556 421124 631686 947529 1263372 1895058 3790116