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20460000 = 253541131
BaseRepresentation
bin100111000001…
…1000111100000
31102111110211210
41032003013200
520214210000
62010310120
7335623101
oct116030740
942443753
1020460000
11106049a0
126a28340
134314912
142a083a8
151be2350
hex13831e0

20460000 has 240 divisors, whose sum is σ = 75575808. Its totient is φ = 4800000.

The previous prime is 20459987. The next prime is 20460007. The reversal of 20460000 is 6402.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×204600002 = 837223200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20460007) 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, 659985 + ... + 660015.

Almost surely, 220460000 is an apocalyptic number.

20460000 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 20460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37787904).

20460000 is an abundant number, since it is smaller than the sum of its proper divisors (55115808).

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

20460000 is a wasteful number, since it uses less digits than its factorization.

20460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20460000 is about 4523.2731511595. The cubic root of 20460000 is about 273.5070612140.

Adding to 20460000 its reverse (6402), we get a palindrome (20466402).

The spelling of 20460000 in words is "twenty million, four hundred sixty thousand".