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20379060 = 22335132903
BaseRepresentation
bin100110110111…
…1010110110100
31102100100211000
41031233112310
520204112220
62004443300
7335135112
oct115572664
942310730
1020379060
111055a0a9
1269a9530
1342b6b20
1429c6ab2
151bc8390
hex136f5b4

20379060 has 96 divisors (see below), whose sum is σ = 68302080. Its totient is φ = 5014656.

The previous prime is 20379041. The next prime is 20379061. The reversal of 20379060 is 6097302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20379061) 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, 5569 + ... + 8471.

It is an arithmetic number, because the mean of its divisors is an integer number (711480).

Almost surely, 220379060 is an apocalyptic number.

20379060 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 20379060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34151040).

20379060 is an abundant number, since it is smaller than the sum of its proper divisors (47923020).

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

20379060 is a wasteful number, since it uses less digits than its factorization.

20379060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20379060 is about 4514.3172241215. The cubic root of 20379060 is about 273.1459188526.

The spelling of 20379060 in words is "twenty million, three hundred seventy-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 2903 3510 5806 7020 8709 11612 14515 17418 26127 29030 34836 37739 43545 52254 58060 75478 78381 87090 104508 113217 130635 150956 156762 174180 188695 226434 261270 313524 339651 377390 391905 452868 522540 566085 679302 754780 783810 1018953 1132170 1358604 1567620 1698255 2037906 2264340 3396510 4075812 5094765 6793020 10189530 20379060