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20373780 = 22357179271
BaseRepresentation
bin100110110111…
…0000100010100
31102100002120110
41031232010110
520203430110
62004403020
7335113530
oct115560424
942302513
1020373780
1110556139
1269a6470
1342b45bb
1429c4bc0
151bc6a20
hex136e114

20373780 has 96 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 4613760.

The previous prime is 20373767. The next prime is 20373781. The reversal of 20373780 is 8737302.

It is a super-2 number, since 2×203737802 = 830181822976800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20373781) 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 31 ways as a sum of consecutive naturals, for example, 75045 + ... + 75315.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 220373780 is an apocalyptic number.

20373780 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 20373780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

20373780 is an abundant number, since it is smaller than the sum of its proper divisors (45428460).

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

20373780 is a wasteful number, since it uses less digits than its factorization.

20373780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 20373780 is about 4513.7323801927. The cubic root of 20373780 is about 273.1223270706.

The spelling of 20373780 in words is "twenty million, three hundred seventy-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 179 210 271 358 420 537 542 716 813 895 1074 1084 1253 1355 1626 1790 1897 2148 2506 2685 2710 3252 3580 3759 3794 4065 5012 5370 5420 5691 6265 7518 7588 8130 9485 10740 11382 12530 15036 16260 18795 18970 22764 25060 28455 37590 37940 48509 56910 75180 97018 113820 145527 194036 242545 291054 339563 485090 582108 679126 727635 970180 1018689 1358252 1455270 1697815 2037378 2910540 3395630 4074756 5093445 6791260 10186890 20373780