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201426840 = 233253118049
BaseRepresentation
bin11000000000110…
…00011110011000
3112001000112200100
430000120132120
5403031124330
631553135400
74664046156
oct1400303630
9461015610
10201426840
11a3777a6a
125755a560
13329668a4
141ca743d6
1512a3c060
hexc018798

201426840 has 96 divisors (see below), whose sum is σ = 675792000. Its totient is φ = 51978240.

The previous prime is 201426817. The next prime is 201426851. The reversal of 201426840 is 48624102.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2136 + ... + 20184.

It is an arithmetic number, because the mean of its divisors is an integer number (7039500).

Almost surely, 2201426840 is an apocalyptic number.

201426840 is a gapful number since it is divisible by the number (20) 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 201426840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337896000).

201426840 is an abundant number, since it is smaller than the sum of its proper divisors (474365160).

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

201426840 is a wasteful number, since it uses less digits than its factorization.

201426840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18097 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 201426840 is about 14192.4923815375. The cubic root of 201426840 is about 586.1909553299.

The spelling of 201426840 in words is "two hundred one million, four hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 18049 36098 54147 72196 90245 108294 144392 162441 180490 216588 270735 324882 360980 433176 541470 559519 649764 721960 812205 1082940 1119038 1299528 1624410 1678557 2165880 2238076 2797595 3248820 3357114 4476152 5035671 5595190 6497640 6714228 8392785 10071342 11190380 13428456 16785570 20142684 22380760 25178355 33571140 40285368 50356710 67142280 100713420 201426840