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20141940 = 223572131731
BaseRepresentation
bin100110011010…
…1011101110100
31101220022112210
41030311131310
520124020230
61555413420
7333126600
oct114653564
941808483
1020141940
1110407a35
1268b4270
134232c10
142964500
151b7ceb0
hex1335774

20141940 has 288 divisors, whose sum is σ = 77220864. Its totient is φ = 3870720.

The previous prime is 20141939. The next prime is 20142007. The reversal of 20141940 is 4914102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 649725 + ... + 649755.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 220141940 is an apocalyptic number.

20141940 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 20141940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

20141940 is an abundant number, since it is smaller than the sum of its proper divisors (57078924).

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

20141940 is a wasteful number, since it uses less digits than its factorization.

20141940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20141940 is about 4487.9772726697. The cubic root of 20141940 is about 272.0823892573.

The spelling of 20141940 in words is "twenty million, one hundred forty-one thousand, nine hundred forty".