Search a number
-
+
1463634036 = 223444910061
BaseRepresentation
bin101011100111101…
…0100100001110100
310210000002022110000
41113033110201310
510444142242121
6401122431300
751161453424
oct12717244164
93700068400
101463634036
11691201a07
1234a202530
131a42cb857
14dc558484
1588764526
hex573d4874

1463634036 has 60 divisors (see below), whose sum is σ = 3835131300. Its totient is φ = 486743040.

The previous prime is 1463634019. The next prime is 1463634037. The reversal of 1463634036 is 6304363641.

1463634036 is a `hidden beast` number, since 14 + 6 + 3 + 634 + 0 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 866124900 + 597509136 = 29430^2 + 24444^2 .

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 (1463634037) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140446 + ... + 150506.

It is an arithmetic number, because the mean of its divisors is an integer number (63918855).

Almost surely, 21463634036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463634036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917565650).

1463634036 is an abundant number, since it is smaller than the sum of its proper divisors (2371497264).

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

1463634036 is a wasteful number, since it uses less digits than its factorization.

1463634036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10526 (or 10515 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 1463634036 is about 38257.4703293357. The cubic root of 1463634036 is about 1135.3876520686.

Adding to 1463634036 its reverse (6304363641), we get a palindrome (7767997677).

The spelling of 1463634036 in words is "one billion, four hundred sixty-three million, six hundred thirty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 449 898 1347 1796 2694 4041 5388 8082 10061 12123 16164 20122 24246 30183 36369 40244 48492 60366 72738 90549 120732 145476 181098 271647 362196 543294 814941 1086588 1629882 3259764 4517389 9034778 13552167 18069556 27104334 40656501 54208668 81313002 121969503 162626004 243939006 365908509 487878012 731817018 1463634036