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2114350420 = 2257134327017
BaseRepresentation
bin111111000000110…
…0110110101010100
312110100112010111211
41332001212311110
513312233203140
6545445511204
7103252452640
oct17601466524
95410463454
102114350420
1199554a846
124b0112504
13279073930
14160b43c20
15c594e2ea
hex7e066d54

2114350420 has 96 divisors (see below), whose sum is σ = 5592077568. Its totient is φ = 653571072.

The previous prime is 2114350397. The next prime is 2114350451. The reversal of 2114350420 is 240534112.

It is a junction number, because it is equal to n+sod(n) for n = 2114350391 and 2114350400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64752 + ... + 91768.

It is an arithmetic number, because the mean of its divisors is an integer number (58250808).

Almost surely, 22114350420 is an apocalyptic number.

2114350420 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 2114350420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796038784).

2114350420 is an abundant number, since it is smaller than the sum of its proper divisors (3477727148).

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

2114350420 is a wasteful number, since it uses less digits than its factorization.

2114350420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27089 (or 27087 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2114350420 is about 45982.0662867601. The cubic root of 2114350420 is about 1283.4895058531.

Adding to 2114350420 its reverse (240534112), we get a palindrome (2354884532).

The spelling of 2114350420 in words is "two billion, one hundred fourteen million, three hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 52 65 70 86 91 130 140 172 182 215 260 301 364 430 455 559 602 860 910 1118 1204 1505 1820 2236 2795 3010 3913 5590 6020 7826 11180 15652 19565 27017 39130 54034 78260 108068 135085 189119 270170 351221 378238 540340 702442 756476 945595 1161731 1404884 1756105 1891190 2323462 2458547 3512210 3782380 4646924 4917094 5808655 7024420 8132117 9834188 11617310 12292735 15102503 16264234 23234620 24585470 30205006 32528468 40660585 49170940 60410012 75512515 81321170 105717521 151025030 162642340 211435042 302050060 422870084 528587605 1057175210 2114350420