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2024020 = 225175953
BaseRepresentation
bin111101110001001010100
310210211102201
413232021110
51004232040
6111214244
723126635
oct7561124
93724381
102024020
111162749
12817384
1355b35b
143a988c
1529ea9a
hex1ee254

2024020 has 24 divisors (see below), whose sum is σ = 4501224. Its totient is φ = 761856.

The previous prime is 2023993. The next prime is 2024063. The reversal of 2024020 is 204202.

2024020 = T100 + T101 + ... + T235.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 1993744 = 174^2 + 1412^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2023988 and 2024006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2637 + ... + 3316.

It is an arithmetic number, because the mean of its divisors is an integer number (187551).

22024020 is an apocalyptic number.

2024020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024020 is an abundant number, since it is smaller than the sum of its proper divisors (2477204).

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

2024020 is a wasteful number, since it uses less digits than its factorization.

2024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2024020 is about 1422.6805685044. The cubic root of 2024020 is about 126.4944875141.

Adding to 2024020 its reverse (204202), we get a palindrome (2228222).

The spelling of 2024020 in words is "two million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 5953 11906 23812 29765 59530 101201 119060 202402 404804 506005 1012010 2024020