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20874240 = 210335151
BaseRepresentation
bin100111110100…
…0010000000000
31110021112002000
41033220100000
520320433430
62023224000
7342266562
oct117502000
943245060
1020874240
1110868142
126ba8000
13442b32a
142ab5332
151c74e60
hex13e8400

20874240 has 176 divisors, whose sum is σ = 74674560. Its totient is φ = 5529600.

The previous prime is 20874233. The next prime is 20874241. The reversal of 20874240 is 4247802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20874241) 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, 138165 + ... + 138315.

Almost surely, 220874240 is an apocalyptic number.

20874240 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 20874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37337280).

20874240 is an abundant number, since it is smaller than the sum of its proper divisors (53800320).

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

20874240 is a wasteful number, since it uses less digits than its factorization.

20874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20874240 is about 4568.8335491677. The cubic root of 20874240 is about 275.3405807797.

The spelling of 20874240 in words is "twenty million, eight hundred seventy-four thousand, two hundred forty".