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20874000 = 243537271
BaseRepresentation
bin100111110100…
…0001100010000
31110021111202010
41033220030100
520320432000
62023222520
7342266100
oct117501420
943244663
1020874000
1110867a44
126ba7a40
13442b1a4
142ab5200
151c74d50
hex13e8310

20874000 has 240 divisors, whose sum is σ = 79387776. Its totient is φ = 4704000.

The previous prime is 20873999. The next prime is 20874001. The reversal of 20874000 is 47802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20873999) and next prime (20874001).

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20874001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293965 + ... + 294035.

Almost surely, 220874000 is an apocalyptic number.

20874000 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 20874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39693888).

20874000 is an abundant number, since it is smaller than the sum of its proper divisors (58513776).

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

20874000 is a wasteful number, since it uses less digits than its factorization.

20874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 20874000 is about 4568.8072841826. The cubic root of 20874000 is about 275.3395255398.

The spelling of 20874000 in words is "twenty million, eight hundred seventy-four thousand".