Search a number
-
+
2086440920 = 235194758411
BaseRepresentation
bin111110001011100…
…1000111111011000
312101102000011212122
41330113020333120
513233112102140
6543011400412
7102463312064
oct17427107730
95342004778
102086440920
11980817a43
124a28b3108
13273351335
1415b15aaa4
15c3289ab5
hex7c5c8fd8

2086440920 has 64 divisors (see below), whose sum is σ = 5046796800. Its totient is φ = 773815680.

The previous prime is 2086440919. The next prime is 2086441001. The reversal of 2086440920 is 290446802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6515 + ... + 64925.

It is an arithmetic number, because the mean of its divisors is an integer number (78856200).

Almost surely, 22086440920 is an apocalyptic number.

2086440920 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 2086440920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523398400).

2086440920 is an abundant number, since it is smaller than the sum of its proper divisors (2960355880).

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

2086440920 is a wasteful number, since it uses less digits than its factorization.

2086440920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58488 (or 58484 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2086440920 is about 45677.5756799767. The cubic root of 2086440920 is about 1277.8171046301.

The spelling of 2086440920 in words is "two billion, eighty-six million, four hundred forty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 47 76 94 95 152 188 190 235 376 380 470 760 893 940 1786 1880 3572 4465 7144 8930 17860 35720 58411 116822 233644 292055 467288 584110 1109809 1168220 2219618 2336440 2745317 4439236 5490634 5549045 8878472 10981268 11098090 13726585 21962536 22196180 27453170 44392360 52161023 54906340 104322046 109812680 208644092 260805115 417288184 521610230 1043220460 2086440920