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2059920 = 243252861
BaseRepresentation
bin111110110111010010000
310212122200100
413312322100
51011404140
6112052400
723336412
oct7667220
93778610
102059920
111187715
12834100
135717b5
143b89b2
152aa530
hex1f6e90

2059920 has 60 divisors (see below), whose sum is σ = 6920316. Its totient is φ = 549120.

The previous prime is 2059913. The next prime is 2059921. The reversal of 2059920 is 299502.

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 1115136 = 972^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2059921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 711 + ... + 2150.

22059920 is an apocalyptic number.

2059920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2059920 is an abundant number, since it is smaller than the sum of its proper divisors (4860396).

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

2059920 is a wasteful number, since it uses less digits than its factorization.

2059920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2059920 is about 1435.2421398496. The cubic root of 2059920 is about 127.2379855700.

The spelling of 2059920 in words is "two million, fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2861 5722 8583 11444 14305 17166 22888 25749 28610 34332 42915 45776 51498 57220 68664 85830 102996 114440 128745 137328 171660 205992 228880 257490 343320 411984 514980 686640 1029960 2059920