Search a number
-
+
2030192640 = 21133571049
BaseRepresentation
bin111100100000010…
…0100100000000000
312020111011110202000
41321000210200000
513124212131030
6533242024000
7101211231660
oct17100444000
95214143660
102030192640
11951a99863
12487aa8000
132647b8c28
141538b81a0
15bd378860
hex79024800

2030192640 has 384 divisors, whose sum is σ = 8255520000. Its totient is φ = 463601664.

The previous prime is 2030192623. The next prime is 2030192687. The reversal of 2030192640 is 462910302.

2030192640 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 19 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 1934836 + ... + 1935884.

It is an arithmetic number, because the mean of its divisors is an integer number (21498750).

Almost surely, 22030192640 is an apocalyptic number.

2030192640 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 2030192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760000).

2030192640 is an abundant number, since it is smaller than the sum of its proper divisors (6225327360).

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

2030192640 is a wasteful number, since it uses less digits than its factorization.

2030192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2030192640 is about 45057.6590603640. The cubic root of 2030192640 is about 1266.2294680750.

The spelling of 2030192640 in words is "two billion, thirty million, one hundred ninety-two thousand, six hundred forty".