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1361936020 = 225316136011
BaseRepresentation
bin101000100101101…
…0111111010010100
310111220201111222211
41101023113322110
510242123423040
6343051003204
745515156644
oct12113277224
93456644884
101361936020
11639860765
12320139504
13189212203
14ccc44524
157e8768ea
hex512d7e94

1361936020 has 48 divisors (see below), whose sum is σ = 3000807936. Its totient is φ = 518544000.

The previous prime is 1361935951. The next prime is 1361936021. The reversal of 1361936020 is 206391631.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361936021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19815 + ... + 55825.

It is an arithmetic number, because the mean of its divisors is an integer number (62516832).

Almost surely, 21361936020 is an apocalyptic number.

1361936020 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 1361936020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500403968).

1361936020 is an abundant number, since it is smaller than the sum of its proper divisors (1638871916).

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

1361936020 is a wasteful number, since it uses less digits than its factorization.

1361936020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36112 (or 36110 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 1361936020 is about 36904.4173507725. The cubic root of 1361936020 is about 1108.4571319431.

The spelling of 1361936020 in words is "one billion, three hundred sixty-one million, nine hundred thirty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 31 61 62 122 124 155 244 305 310 610 620 1220 1891 3782 7564 9455 18910 36011 37820 72022 144044 180055 360110 720220 1116341 2196671 2232682 4393342 4465364 5581705 8786684 10983355 11163410 21966710 22326820 43933420 68096801 136193602 272387204 340484005 680968010 1361936020