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20373012 = 22331121559
BaseRepresentation
bin100110110110…
…1111000010100
31102100001112000
41031231320110
520203414022
62004355300
7335111352
oct115557024
942301460
1020373012
1110555600
1269a5b30
1342b414a
1429c47d2
151bc66ac
hex136de14

20373012 has 72 divisors (see below), whose sum is σ = 58094400. Its totient is φ = 6169680.

The previous prime is 20373011. The next prime is 20373019. The reversal of 20373012 is 21037302.

It is a super-3 number, since 3×203730123 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20373011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12289 + ... + 13847.

Almost surely, 220373012 is an apocalyptic number.

20373012 is a gapful number since it is divisible by the number (22) 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 20373012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29047200).

20373012 is an abundant number, since it is smaller than the sum of its proper divisors (37721388).

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

20373012 is a wasteful number, since it uses less digits than its factorization.

20373012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 20373012 is about 4513.6473056720. The cubic root of 20373012 is about 273.1188951991.

The spelling of 20373012 in words is "twenty million, three hundred seventy-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 1559 2178 3118 3267 4356 4677 6236 6534 9354 13068 14031 17149 18708 28062 34298 42093 51447 56124 68596 84186 102894 154341 168372 188639 205788 308682 377278 463023 565917 617364 754556 926046 1131834 1697751 1852092 2263668 3395502 5093253 6791004 10186506 20373012