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4090680 = 23325111033
BaseRepresentation
bin1111100110101100111000
321200211100200
433212230320
52021400210
6223402200
746525116
oct17465470
97624320
104090680
112344430
121453360
13b02c29
14786ab6
1555c0c0
hex3e6b38

4090680 has 96 divisors (see below), whose sum is σ = 14517360. Its totient is φ = 990720.

The previous prime is 4090679. The next prime is 4090703. The reversal of 4090680 is 860904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3444 + ... + 4476.

Almost surely, 24090680 is an apocalyptic number.

4090680 is a gapful number since it is divisible by the number (40) 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 4090680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7258680).

4090680 is an abundant number, since it is smaller than the sum of its proper divisors (10426680).

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

4090680 is a wasteful number, since it uses less digits than its factorization.

4090680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4090680 is about 2022.5429538084. The cubic root of 4090680 is about 159.9306991547.

The spelling of 4090680 in words is "four million, ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1033 1320 1980 2066 3099 3960 4132 5165 6198 8264 9297 10330 11363 12396 15495 18594 20660 22726 24792 30990 34089 37188 41320 45452 46485 56815 61980 68178 74376 90904 92970 102267 113630 123960 136356 170445 185940 204534 227260 272712 340890 371880 409068 454520 511335 681780 818136 1022670 1363560 2045340 4090680