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2090109420 = 2234571491237
BaseRepresentation
bin111110010010100…
…1000100111101100
312101122220120010000
41330211020213230
513240032000140
6543222144300
7102536431320
oct17445104754
95348816100
102090109420
119828a3163
124a3b82090
13274037049
1415b833980
15c3761a30
hex7c9489ec

2090109420 has 240 divisors, whose sum is σ = 7549819200. Its totient is φ = 474149376.

The previous prime is 2090109419. The next prime is 2090109457. The reversal of 2090109420 is 249010902.

2090109420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1689042 + ... + 1690278.

It is an arithmetic number, because the mean of its divisors is an integer number (31457580).

Almost surely, 22090109420 is an apocalyptic number.

2090109420 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 2090109420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774909600).

2090109420 is an abundant number, since it is smaller than the sum of its proper divisors (5459709780).

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

2090109420 is a wasteful number, since it uses less digits than its factorization.

2090109420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2090109420 is about 45717.7145098046. The cubic root of 2090109420 is about 1278.5655765544.

The spelling of 2090109420 in words is "two billion, ninety million, one hundred nine thousand, four hundred twenty".