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1950020640 = 253251354181
BaseRepresentation
bin111010000111010…
…1111010000100000
312000220022022102200
41310032233100200
512443201130030
6521255413200
766215621241
oct16416572040
95026268380
101950020640
11910810407
12465084200
13250cc8489
14146da8cc8
15b62ddd60
hex743af420

1950020640 has 72 divisors (see below), whose sum is σ = 6654450348. Its totient is φ = 520005120.

The previous prime is 1950020629. The next prime is 1950020651. The reversal of 1950020640 is 460200591.

1950020640 is a `hidden beast` number, since 19 + 5 + 0 + 0 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1950020629) and next prime (1950020651).

It can be written as a sum of positive squares in 2 ways, for example, as 1848656016 + 101364624 = 42996^2 + 10068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675651 + ... + 678530.

Almost surely, 21950020640 is an apocalyptic number.

1950020640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1950020640 is an abundant number, since it is smaller than the sum of its proper divisors (4704429708).

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

1950020640 is a wasteful number, since it uses less digits than its factorization.

1950020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354202 (or 1354191 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1950020640 is about 44159.0380330007. The cubic root of 1950020640 is about 1249.3373853489.

The spelling of 1950020640 in words is "one billion, nine hundred fifty million, twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1354181 2708362 4062543 5416724 6770905 8125086 10833448 12187629 13541810 16250172 20312715 21666896 24375258 27083620 32500344 40625430 43333792 48750516 54167240 60938145 65000688 81250860 97501032 108334480 121876290 130001376 162501720 195002064 216668960 243752580 325003440 390004128 487505160 650006880 975010320 1950020640