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20204240 = 2457109331
BaseRepresentation
bin100110100010…
…0101011010000
31102000111000012
41031010223100
520133013430
62001014052
7333506330
oct115045320
942014005
1020204240
111044a821
126924328
134255394
14297d0c0
151b91695
hex1344ad0

20204240 has 80 divisors (see below), whose sum is σ = 54341760. Its totient is φ = 6842880.

The previous prime is 20204231. The next prime is 20204243. The reversal of 20204240 is 4240202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×202042402 = 816422627955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20204243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60875 + ... + 61205.

It is an arithmetic number, because the mean of its divisors is an integer number (679272).

Almost surely, 220204240 is an apocalyptic number.

20204240 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 20204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170880).

20204240 is an abundant number, since it is smaller than the sum of its proper divisors (34137520).

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

20204240 is a wasteful number, since it uses less digits than its factorization.

20204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 20204240 is about 4494.9126799083. The cubic root of 20204240 is about 272.3626218854.

Adding to 20204240 its reverse (4240202), we get a palindrome (24444442).

The spelling of 20204240 in words is "twenty million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 109 112 140 218 280 331 436 545 560 662 763 872 1090 1324 1526 1655 1744 2180 2317 2648 3052 3310 3815 4360 4634 5296 6104 6620 7630 8720 9268 11585 12208 13240 15260 18536 23170 26480 30520 36079 37072 46340 61040 72158 92680 144316 180395 185360 252553 288632 360790 505106 577264 721580 1010212 1262765 1443160 2020424 2525530 2886320 4040848 5051060 10102120 20204240