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3090780 = 22325711223
BaseRepresentation
bin1011110010100101011100
312211000202100
423302211130
51242401110
6150125100
735162010
oct13624534
95730670
103090780
111821170
121050790
13842a84
145a6540
15410bc0
hex2f295c

3090780 has 144 divisors (see below), whose sum is σ = 11741184. Its totient is φ = 639360.

The previous prime is 3090779. The next prime is 3090781. The reversal of 3090780 is 870903.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3090779) and next prime (3090781).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3090781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13749 + ... + 13971.

It is an arithmetic number, because the mean of its divisors is an integer number (81536).

Almost surely, 23090780 is an apocalyptic number.

3090780 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 3090780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870592).

3090780 is an abundant number, since it is smaller than the sum of its proper divisors (8650404).

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

3090780 is a wasteful number, since it uses less digits than its factorization.

3090780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3090780 is about 1758.0614323737. The cubic root of 3090780 is about 145.6652743390.

The spelling of 3090780 in words is "three million, ninety thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 223 231 252 308 315 330 385 396 420 446 462 495 630 660 669 693 770 892 924 990 1115 1155 1260 1338 1386 1540 1561 1980 2007 2230 2310 2453 2676 2772 3122 3345 3465 4014 4460 4620 4683 4906 6244 6690 6930 7359 7805 8028 9366 9812 10035 12265 13380 13860 14049 14718 15610 17171 18732 20070 22077 23415 24530 28098 29436 31220 34342 36795 40140 44154 46830 49060 51513 56196 68684 70245 73590 85855 88308 93660 103026 110385 140490 147180 154539 171710 206052 220770 257565 280980 309078 343420 441540 515130 618156 772695 1030260 1545390 3090780