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1361828412 = 2232714936269
BaseRepresentation
bin101000100101011…
…1101101000111100
310111220112001101100
41101022331220330
510242112002122
6343044413100
745514231140
oct12112755074
93456461340
101361828412
1163979792a
123200a7190
131891a5239
14ccc17220
157e854aac
hex512bda3c

1361828412 has 72 divisors (see below), whose sum is σ = 3960684000. Its totient is φ = 386471808.

The previous prime is 1361828411. The next prime is 1361828417. The reversal of 1361828412 is 2148281631.

1361828412 is a `hidden beast` number, since 1 + 3 + 618 + 28 + 4 + 12 = 666.

1361828412 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361828411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19414 + ... + 55682.

It is an arithmetic number, because the mean of its divisors is an integer number (55009500).

Almost surely, 21361828412 is an apocalyptic number.

1361828412 is a gapful number since it is divisible by the number (12) 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 1361828412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980342000).

1361828412 is an abundant number, since it is smaller than the sum of its proper divisors (2598855588).

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

1361828412 is a wasteful number, since it uses less digits than its factorization.

1361828412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36435 (or 36430 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1361828412 is about 36902.9593935229. The cubic root of 1361828412 is about 1108.4279377189.

The spelling of 1361828412 in words is "one billion, three hundred sixty-one million, eight hundred twenty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 298 447 596 894 1043 1341 1788 2086 2682 3129 4172 5364 6258 9387 12516 18774 36269 37548 72538 108807 145076 217614 253883 326421 435228 507766 652842 761649 1015532 1305684 1523298 2284947 3046596 4569894 5404081 9139788 10808162 16212243 21616324 32424486 37828567 48636729 64848972 75657134 97273458 113485701 151314268 194546916 226971402 340457103 453942804 680914206 1361828412