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20251242 = 23311103331
BaseRepresentation
bin100110101000…
…0001001101010
31102002212111000
41031100021222
520141014432
62002015430
7334063344
oct115201152
942085430
1020251242
1110482070
126947576
1342708ab
142992294
151ba057c
hex135026a

20251242 has 64 divisors (see below), whose sum is σ = 49720320. Its totient is φ = 6058800.

The previous prime is 20251241. The next prime is 20251249. The reversal of 20251242 is 24215202.

It is a super-2 number, since 2×202512422 = 820225605085128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (20251241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61017 + ... + 61347.

It is an arithmetic number, because the mean of its divisors is an integer number (776880).

Almost surely, 220251242 is an apocalyptic number.

20251242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20251242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24860160).

20251242 is an abundant number, since it is smaller than the sum of its proper divisors (29469078).

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

20251242 is a wasteful number, since it uses less digits than its factorization.

20251242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20251242 is about 4500.1379978841. The cubic root of 20251242 is about 272.5736613140.

Adding to 20251242 its reverse (24215202), we get a palindrome (44466444).

The spelling of 20251242 in words is "twenty million, two hundred fifty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 103 198 206 297 309 331 594 618 662 927 993 1133 1854 1986 2266 2781 2979 3399 3641 5562 5958 6798 7282 8937 10197 10923 17874 20394 21846 30591 32769 34093 61182 65538 68186 98307 102279 196614 204558 306837 375023 613674 750046 920511 1125069 1841022 2250138 3375207 6750414 10125621 20251242