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1361460456 = 233218909173
BaseRepresentation
bin101000100100110…
…0011110011101000
310111212211100122100
41101021203303220
510242013213311
6343032453400
745511136316
oct12111436350
93455740570
101361460456
11639566434
1231bb4a260
131890a6905
14ccb5d0b6
157e7d0a56
hex51263ce8

1361460456 has 24 divisors (see below), whose sum is σ = 3687288930. Its totient is φ = 453820128.

The previous prime is 1361460389. The next prime is 1361460481. The reversal of 1361460456 is 6540641631.

It is a happy number.

1361460456 is a `hidden beast` number, since 1 + 36 + 14 + 604 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 748897956 + 612562500 = 27366^2 + 24750^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1361460456.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9454515 + ... + 9454658.

Almost surely, 21361460456 is an apocalyptic number.

It is an amenable number.

1361460456 is an abundant number, since it is smaller than the sum of its proper divisors (2325828474).

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

1361460456 is a wasteful number, since it uses less digits than its factorization.

1361460456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18909185 (or 18909178 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1361460456 is about 36897.9736028959. The cubic root of 1361460456 is about 1108.3280990400.

The spelling of 1361460456 in words is "one billion, three hundred sixty-one million, four hundred sixty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18909173 37818346 56727519 75636692 113455038 151273384 170182557 226910076 340365114 453820152 680730228 1361460456