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1361280564 = 22327415749
BaseRepresentation
bin101000100100011…
…0111111000110100
310111212111012212200
41101020313320310
510241441434224
6343024544500
745506460000
oct12110677064
93455435780
101361280564
11639453266
1231ba82130
13189042a77
14ccb13700
157e7975c9
hex51237e34

1361280564 has 90 divisors (see below), whose sum is σ = 4014533250. Its totient is φ = 388912608.

The previous prime is 1361280551. The next prime is 1361280577. The reversal of 1361280564 is 4650821631.

It is a happy number.

1361280564 is a `hidden beast` number, since 1 + 3 + 6 + 12 + 80 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (1361280551) and next prime (1361280577).

It can be written as a sum of positive squares in only one way, i.e., 780084900 + 581195664 = 27930^2 + 24108^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78562 + ... + 94310.

It is an arithmetic number, because the mean of its divisors is an integer number (44605925).

Almost surely, 21361280564 is an apocalyptic number.

1361280564 is a gapful number since it is divisible by the number (14) 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 1361280564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007266625).

1361280564 is an abundant number, since it is smaller than the sum of its proper divisors (2653252686).

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

1361280564 is a wasteful number, since it uses less digits than its factorization.

1361280564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15787 (or 15761 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1361280564 is about 36895.5358275225. The cubic root of 1361280564 is about 1108.2792818208.

The spelling of 1361280564 in words is "one billion, three hundred sixty-one million, two hundred eighty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2401 3087 4116 4802 6174 7203 9604 12348 14406 15749 21609 28812 31498 43218 47247 62996 86436 94494 110243 141741 188988 220486 283482 330729 440972 566964 661458 771701 992187 1322916 1543402 1984374 2315103 3086804 3968748 4630206 5401907 6945309 9260412 10803814 13890618 16205721 21607628 27781236 32411442 37813349 48617163 64822884 75626698 97234326 113440047 151253396 194468652 226880094 340320141 453760188 680640282 1361280564