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1361143420 = 22571317293741
BaseRepresentation
bin101000100100001…
…0110011001111100
310111212020020202021
41101020112121330
510241423042140
6343022005524
745505346110
oct12110263174
93455206667
101361143420
1163936a21a
1231ba168a4
13188cc5510
14ccab9740
157e76bb4a
hex5121667c

1361143420 has 384 divisors, whose sum is σ = 4054095360. Its totient is φ = 371589120.

The previous prime is 1361143417. The next prime is 1361143429. The reversal of 1361143420 is 243411631.

It is a super-2 number, since 2×13611434202 = 3705422819618592800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361143429) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33198600 + ... + 33198640.

It is an arithmetic number, because the mean of its divisors is an integer number (10557540).

Almost surely, 21361143420 is an apocalyptic number.

1361143420 is a gapful number since it is divisible by the number (10) 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 1361143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027047680).

1361143420 is an abundant number, since it is smaller than the sum of its proper divisors (2692951940).

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

1361143420 is a wasteful number, since it uses less digits than its factorization.

1361143420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1361143420 is about 36893.6772360794. The cubic root of 1361143420 is about 1108.2420622198.

The spelling of 1361143420 in words is "one billion, three hundred sixty-one million, one hundred forty-three thousand, four hundred twenty".