Search a number
-
+
2711020380 = 2235197322901
BaseRepresentation
bin1010000110010110…
…1110001101011100
320222221021002211020
42201211232031130
521023010123010
61125002324140
7124116202335
oct24145561534
96887232736
102711020380
111171333812
12637ab9650
13342874893
141ba0a128c
1510d010470
hexa196e35c

2711020380 has 48 divisors (see below), whose sum is σ = 7595036064. Its totient is φ = 722540800.

The previous prime is 2711020349. The next prime is 2711020381. The reversal of 2711020380 is 830201172.

2711020380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2711020380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2711020381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106930 + ... + 129830.

It is an arithmetic number, because the mean of its divisors is an integer number (158229918).

Almost surely, 22711020380 is an apocalyptic number.

2711020380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2711020380 is an abundant number, since it is smaller than the sum of its proper divisors (4884015684).

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

2711020380 is a wasteful number, since it uses less digits than its factorization.

2711020380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24886 (or 24884 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2711020380 is about 52067.4598957929. The cubic root of 2711020380 is about 1394.3685995525.

The spelling of 2711020380 in words is "two billion, seven hundred eleven million, twenty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1973 3946 5919 7892 9865 11838 19730 22901 23676 29595 39460 45802 59190 68703 91604 114505 118380 137406 229010 274812 343515 458020 687030 1374060 45183673 90367346 135551019 180734692 225918365 271102038 451836730 542204076 677755095 903673460 1355510190 2711020380