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4027118220 = 22325791731637
BaseRepresentation
bin1111000000001000…
…1111001010001100
3101101122201210122200
43300002033022030
531221420240340
61503335041500
7201536640306
oct36002171214
911348653580
104027118220
111787226584
12944810290
134c2427ab8
142a2bb2976
15188830330
hexf008f28c

4027118220 has 144 divisors (see below), whose sum is σ = 12449324160. Its totient is φ = 1053531648.

The previous prime is 4027118189. The next prime is 4027118237. The reversal of 4027118220 is 228117204.

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 47 ways as a sum of consecutive naturals, for example, 2459242 + ... + 2460878.

It is an arithmetic number, because the mean of its divisors is an integer number (86453640).

Almost surely, 24027118220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4027118220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224662080).

4027118220 is an abundant number, since it is smaller than the sum of its proper divisors (8422205940).

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

4027118220 is a wasteful number, since it uses less digits than its factorization.

4027118220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4027118220 is about 63459.5794187135. The cubic root of 4027118220 is about 1590.9802665319.

The spelling of 4027118220 in words is "four billion, twenty-seven million, one hundred eighteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 173 180 237 316 346 395 474 519 692 711 790 865 948 1038 1185 1422 1557 1580 1637 1730 2076 2370 2595 2844 3114 3274 3460 3555 4740 4911 5190 6228 6548 7110 7785 8185 9822 10380 13667 14220 14733 15570 16370 19644 24555 27334 29466 31140 32740 41001 49110 54668 58932 68335 73665 82002 98220 123003 129323 136670 147330 164004 205005 246006 258646 273340 283201 294660 387969 410010 492012 517292 566402 615015 646615 775938 820020 849603 1132804 1163907 1230030 1293230 1416005 1551876 1699206 1939845 2327814 2460060 2548809 2586460 2832010 3398412 3879690 4248015 4655628 5097618 5664020 5819535 7759380 8496030 10195236 11639070 12744045 16992060 22372879 23278140 25488090 44745758 50976180 67118637 89491516 111864395 134237274 201355911 223728790 268474548 335593185 402711822 447457580 671186370 805423644 1006779555 1342372740 2013559110 4027118220