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20067840 = 293251367
BaseRepresentation
bin100110010001…
…1011000000000
31101202112220100
41030203120000
520114132330
61554042400
7332400552
oct114433000
941675810
1020067840
11103672a1
126879400
134208280
1429454d2
151b66060
hex1323600

20067840 has 240 divisors, whose sum is σ = 75963888. Its totient is φ = 4866048.

The previous prime is 20067833. The next prime is 20067893. The reversal of 20067840 is 4876002.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299487 + ... + 299553.

Almost surely, 220067840 is an apocalyptic number.

20067840 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 20067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37981944).

20067840 is an abundant number, since it is smaller than the sum of its proper divisors (55896048).

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

20067840 is a wasteful number, since it uses less digits than its factorization.

20067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20067840 is about 4479.7142766029. The cubic root of 20067840 is about 271.7483254507.

The spelling of 20067840 in words is "twenty million, sixty-seven thousand, eight hundred forty".