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20137400 = 2352107941
BaseRepresentation
bin100110011010…
…0010110111000
31101220002022122
41030310112320
520123344100
61555340412
7333110423
oct114642670
941802278
1020137400
1110404588
1268b1708
134230b2a
1429629ba
151b7b985
hex13345b8

20137400 has 48 divisors (see below), whose sum is σ = 47307240. Its totient is φ = 7971200.

The previous prime is 20137399. The next prime is 20137409. The reversal of 20137400 is 473102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20137409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20930 + ... + 21870.

Almost surely, 220137400 is an apocalyptic number.

20137400 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 20137400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23653620).

20137400 is an abundant number, since it is smaller than the sum of its proper divisors (27169840).

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

20137400 is a wasteful number, since it uses less digits than its factorization.

20137400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 20137400 is about 4487.4714483771. The cubic root of 20137400 is about 272.0619452341.

The spelling of 20137400 in words is "twenty million, one hundred thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 941 1070 1882 2140 2675 3764 4280 4705 5350 7528 9410 10700 18820 21400 23525 37640 47050 94100 100687 188200 201374 402748 503435 805496 1006870 2013740 2517175 4027480 5034350 10068700 20137400