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2051920 = 245131973
BaseRepresentation
bin111110100111101010000
310212020201001
413310331100
51011130140
6111551344
723304163
oct7647520
93766631
102051920
111181702
1282b554
1356ac70
143b5ada
152a7e9a
hex1f4f50

2051920 has 40 divisors (see below), whose sum is σ = 5140296. Its totient is φ = 757248.

The previous prime is 2051893. The next prime is 2051923. The reversal of 2051920 is 291502.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 2050624 = 36^2 + 1432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 2026.

22051920 is an apocalyptic number.

2051920 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 2051920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570148).

2051920 is an abundant number, since it is smaller than the sum of its proper divisors (3088376).

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

2051920 is a wasteful number, since it uses less digits than its factorization.

2051920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 2051920 is about 1432.4524424915. The cubic root of 2051920 is about 127.0730561130.

The spelling of 2051920 in words is "two million, fifty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1973 3946 7892 9865 15784 19730 25649 31568 39460 51298 78920 102596 128245 157840 205192 256490 410384 512980 1025960 2051920