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20914000 = 245310457
BaseRepresentation
bin100111111000…
…1111101010000
31110100112121121
41033301331100
520323222000
62024132024
7342523522
oct117617520
943315547
1020914000
1110894aa8
127007014
134443463
142ac5a12
151c81b1a
hex13f1f50

20914000 has 40 divisors (see below), whose sum is σ = 50574888. Its totient is φ = 8364800.

The previous prime is 20913967. The next prime is 20914001. The reversal of 20914000 is 41902.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 20903184 = 104^2 + 4572^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20914001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3229 + ... + 7228.

Almost surely, 220914000 is an apocalyptic number.

20914000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20914000 is an abundant number, since it is smaller than the sum of its proper divisors (29660888).

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

20914000 is a wasteful number, since it uses less digits than its factorization.

20914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10480 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 20914000 is about 4573.1826991713. The cubic root of 20914000 is about 275.5152873095.

Adding to 20914000 its reverse (41902), we get a palindrome (20955902).

The spelling of 20914000 in words is "twenty million, nine hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10457 20914 41828 52285 83656 104570 167312 209140 261425 418280 522850 836560 1045700 1307125 2091400 2614250 4182800 5228500 10457000 20914000