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20378790 = 2345139181
BaseRepresentation
bin100110110111…
…1010010100110
31102100100110000
41031233102212
520204110130
62004442130
7335134245
oct115572246
942310400
1020378790
1110559983
1269a9346
1342b6973
1429c695c
151bc8260
hex136f4a6

20378790 has 80 divisors (see below), whose sum is σ = 55495440. Its totient is φ = 5365440.

The previous prime is 20378779. The next prime is 20378791. The reversal of 20378790 is 9787302.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20378791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112500 + ... + 112680.

It is an arithmetic number, because the mean of its divisors is an integer number (693693).

Almost surely, 220378790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20378790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27747720).

20378790 is an abundant number, since it is smaller than the sum of its proper divisors (35116650).

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

20378790 is a wasteful number, since it uses less digits than its factorization.

20378790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 20378790 is about 4514.2873191679. The cubic root of 20378790 is about 273.1447125535.

The spelling of 20378790 in words is "twenty million, three hundred seventy-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 139 162 181 270 278 362 405 417 543 695 810 834 905 1086 1251 1390 1629 1810 2085 2502 2715 3258 3753 4170 4887 5430 6255 7506 8145 9774 11259 12510 14661 16290 18765 22518 24435 25159 29322 37530 48870 50318 56295 73305 75477 112590 125795 146610 150954 226431 251590 377385 452862 679293 754770 1132155 1358586 2037879 2264310 3396465 4075758 6792930 10189395 20378790