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20107140 = 2235536323
BaseRepresentation
bin100110010110…
…0111110000100
31101211112210220
41030230332010
520121412030
61554544340
7332623254
oct114547604
941745726
1020107140
1110393879
1268980b0
134220121
142955964
151b72a10
hex132cf84

20107140 has 48 divisors (see below), whose sum is σ = 57371328. Its totient is φ = 5259904.

The previous prime is 20107133. The next prime is 20107151. The reversal of 20107140 is 4170102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19 + ... + 6341.

It is an arithmetic number, because the mean of its divisors is an integer number (1195236).

Almost surely, 220107140 is an apocalyptic number.

20107140 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 20107140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28685664).

20107140 is an abundant number, since it is smaller than the sum of its proper divisors (37264188).

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

20107140 is a wasteful number, since it uses less digits than its factorization.

20107140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 20107140 is about 4484.0985716195. The cubic root of 20107140 is about 271.9256032113.

Adding to 20107140 its reverse (4170102), we get a palindrome (24277242).

The spelling of 20107140 in words is "twenty million, one hundred seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 6323 12646 18969 25292 31615 37938 63230 75876 94845 126460 189690 335119 379380 670238 1005357 1340476 1675595 2010714 3351190 4021428 5026785 6702380 10053570 20107140