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2090343528 = 2332731317383
BaseRepresentation
bin111110010011000…
…0001110001101000
312101200100110020200
41330212001301220
513240111443103
6543231152200
7102541425000
oct17446016150
95350313220
102090343528
11982a43039
124a4075660
132740b9780
1415b895000
15c37ab0a3
hex7c981c68

2090343528 has 384 divisors, whose sum is σ = 7547904000. Its totient is φ = 517515264.

The previous prime is 2090343517. The next prime is 2090343583. The reversal of 2090343528 is 8253430902.

2090343528 is a `hidden beast` number, since 2 + 0 + 90 + 3 + 43 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2090343492 and 2090343501.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5457625 + ... + 5458007.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 22090343528 is an apocalyptic number.

2090343528 is a gapful number since it is divisible by the number (28) 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 2090343528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952000).

2090343528 is an abundant number, since it is smaller than the sum of its proper divisors (5457560472).

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

2090343528 is a wasteful number, since it uses less digits than its factorization.

2090343528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2090343528 is about 45720.2748023237. The cubic root of 2090343528 is about 1278.6133110976.

The spelling of 2090343528 in words is "two billion, ninety million, three hundred forty-three thousand, five hundred twenty-eight".