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20413140 = 223511157197
BaseRepresentation
bin100110111011…
…1101011010100
31102102002120020
41031313223110
520211210030
62005305140
7335336346
oct115675324
942362506
1020413140
1110582770
126a051b0
1342c94a7
1429d5296
151bd3510
hex1377ad4

20413140 has 96 divisors (see below), whose sum is σ = 63068544. Its totient is φ = 4892160.

The previous prime is 20413117. The next prime is 20413147. The reversal of 20413140 is 4131402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413147) 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, 103522 + ... + 103718.

It is an arithmetic number, because the mean of its divisors is an integer number (656964).

Almost surely, 220413140 is an apocalyptic number.

20413140 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 20413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31534272).

20413140 is an abundant number, since it is smaller than the sum of its proper divisors (42655404).

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

20413140 is a wasteful number, since it uses less digits than its factorization.

20413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20413140 is about 4518.0903045424. The cubic root of 20413140 is about 273.2980951334.

Adding to 20413140 its reverse (4131402), we get a palindrome (24544542).

The spelling of 20413140 in words is "twenty million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 197 220 314 330 394 471 591 628 660 785 788 942 985 1182 1570 1727 1884 1970 2167 2355 2364 2955 3140 3454 3940 4334 4710 5181 5910 6501 6908 8635 8668 9420 10362 10835 11820 13002 17270 20724 21670 25905 26004 30929 32505 34540 43340 51810 61858 65010 92787 103620 123716 130020 154645 185574 309290 340219 371148 463935 618580 680438 927870 1020657 1360876 1701095 1855740 2041314 3402190 4082628 5103285 6804380 10206570 20413140