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242026020 = 223251344589
BaseRepresentation
bin11100110110100…
…00011000100100
3121212102012021200
432123100120210
5443424313040
640003242500
75666121135
oct1633203044
9555365250
10242026020
11114687805
1269079430
133b1b0082
1424201c8c
15163ab630
hexe6d0624

242026020 has 36 divisors (see below), whose sum is σ = 734146140. Its totient is φ = 64540224.

The previous prime is 242026003. The next prime is 242026039. The reversal of 242026020 is 20620242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33454656 + 208571364 = 5784^2 + 14442^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242025984 and 242026002.

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, 672115 + ... + 672474.

Almost surely, 2242026020 is an apocalyptic number.

242026020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242026020 is an abundant number, since it is smaller than the sum of its proper divisors (492120120).

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

242026020 is a wasteful number, since it uses less digits than its factorization.

242026020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344604 (or 1344599 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242026020 is about 15557.1854780998. The cubic root of 242026020 is about 623.1903021139.

Adding to 242026020 its reverse (20620242), we get a palindrome (262646262).

The spelling of 242026020 in words is "two hundred forty-two million, twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1344589 2689178 4033767 5378356 6722945 8067534 12101301 13445890 16135068 20168835 24202602 26891780 40337670 48405204 60506505 80675340 121013010 242026020