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20240440 = 23511157293
BaseRepresentation
bin100110100110…
…1100000111000
31102002022122221
41031031200320
520140143230
62001453424
7334020013
oct115154070
942068587
1020240440
1110474a40
126941274
1342689bc
14298c37a
151b9c27a
hex134d838

20240440 has 64 divisors (see below), whose sum is σ = 50168160. Its totient is φ = 7288320.

The previous prime is 20240431. The next prime is 20240449. The reversal of 20240440 is 4404202.

It is an interprime number because it is at equal distance from previous prime (20240431) and next prime (20240449).

It is a super-2 number, since 2×202404402 = 819350822787200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68934 + ... + 69226.

Almost surely, 220240440 is an apocalyptic number.

20240440 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 20240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25084080).

20240440 is an abundant number, since it is smaller than the sum of its proper divisors (29927720).

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

20240440 is a wasteful number, since it uses less digits than its factorization.

20240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 20240440 is about 4498.9376523797. The cubic root of 20240440 is about 272.5251891537.

Adding to 20240440 its reverse (4404202), we get a palindrome (24644642).

The spelling of 20240440 in words is "twenty million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 293 314 440 586 628 785 1172 1256 1465 1570 1727 2344 2930 3140 3223 3454 5860 6280 6446 6908 8635 11720 12892 13816 16115 17270 25784 32230 34540 46001 64460 69080 92002 128920 184004 230005 368008 460010 506011 920020 1012022 1840040 2024044 2530055 4048088 5060110 10120220 20240440