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20010840 = 23351031619
BaseRepresentation
bin100110001010…
…1011101011000
31101122122201020
41030111131120
520110321330
61552522440
7332042433
oct114253530
941578636
1020010840
1110328493
126850420
1341b8345
14292c81a
151b54210
hex1315758

20010840 has 64 divisors (see below), whose sum is σ = 60652800. Its totient is φ = 5281152.

The previous prime is 20010811. The next prime is 20010847. The reversal of 20010840 is 4801002.

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

20010840 is a modest number, since divided by 10840 gives 200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11551 + ... + 13169.

It is an arithmetic number, because the mean of its divisors is an integer number (947700).

Almost surely, 220010840 is an apocalyptic number.

20010840 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 20010840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326400).

20010840 is an abundant number, since it is smaller than the sum of its proper divisors (40641960).

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

20010840 is a wasteful number, since it uses less digits than its factorization.

20010840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20010840 is about 4473.3477396688. The cubic root of 20010840 is about 271.4907932805.

Adding to 20010840 its reverse (4801002), we get a palindrome (24811842).

The spelling of 20010840 in words is "twenty million, ten thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 1619 2060 2472 3090 3238 4120 4857 6180 6476 8095 9714 12360 12952 16190 19428 24285 32380 38856 48570 64760 97140 166757 194280 333514 500271 667028 833785 1000542 1334056 1667570 2001084 2501355 3335140 4002168 5002710 6670280 10005420 20010840