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4122840 = 2335174347
BaseRepresentation
bin1111101110100011011000
321202110110210
433232203120
52023412330
6224211120
750020641
oct17564330
97673423
104122840
112366607
121469aa0
13b14767
147946c8
155668b0
hex3ee8d8

4122840 has 128 divisors (see below), whose sum is σ = 13685760. Its totient is φ = 989184.

The previous prime is 4122827. The next prime is 4122851. The reversal of 4122840 is 482214.

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 31 ways as a sum of consecutive naturals, for example, 87697 + ... + 87743.

It is an arithmetic number, because the mean of its divisors is an integer number (106920).

Almost surely, 24122840 is an apocalyptic number.

4122840 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 4122840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842880).

4122840 is an abundant number, since it is smaller than the sum of its proper divisors (9562920).

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

4122840 is a wasteful number, since it uses less digits than its factorization.

4122840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4122840 is about 2030.4777762881. The cubic root of 4122840 is about 160.3487185854.

The spelling of 4122840 in words is "four million, one hundred twenty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 47 51 60 68 85 86 94 102 120 129 136 141 170 172 188 204 215 235 255 258 282 340 344 376 408 430 470 510 516 564 645 680 705 731 799 860 940 1020 1032 1128 1290 1410 1462 1598 1720 1880 2021 2040 2193 2397 2580 2820 2924 3196 3655 3995 4042 4386 4794 5160 5640 5848 6063 6392 7310 7990 8084 8772 9588 10105 10965 11985 12126 14620 15980 16168 17544 19176 20210 21930 23970 24252 29240 30315 31960 34357 40420 43860 47940 48504 60630 68714 80840 87720 95880 103071 121260 137428 171785 206142 242520 274856 343570 412284 515355 687140 824568 1030710 1374280 2061420 4122840