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1361512152 = 2334711132099
BaseRepresentation
bin101000100100111…
…0000011011011000
310111212220222120000
41101021300123120
510242021342102
6343033533000
745511443120
oct12111603330
93455828500
101361512152
116395a1260
1231bb74160
131890c42c0
14ccb73c80
157e7e101c
hex512706d8

1361512152 has 320 divisors, whose sum is σ = 5122656000. Its totient is φ = 326280960.

The previous prime is 1361512111. The next prime is 1361512189. The reversal of 1361512152 is 2512151631.

1361512152 is a `hidden beast` number, since 136 + 1 + 512 + 15 + 2 = 666.

It is a super-2 number, since 2×13615121522 = 3707430680087342208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 647599 + ... + 649697.

It is an arithmetic number, because the mean of its divisors is an integer number (16008300).

Almost surely, 21361512152 is an apocalyptic number.

1361512152 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 1361512152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561328000).

1361512152 is an abundant number, since it is smaller than the sum of its proper divisors (3761143848).

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

1361512152 is a wasteful number, since it uses less digits than its factorization.

1361512152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2135 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 1361512152 is about 36898.6741225210. The cubic root of 1361512152 is about 1108.3421269671.

Adding to 1361512152 its reverse (2512151631), we get a palindrome (3873663783).

The spelling of 1361512152 in words is "one billion, three hundred sixty-one million, five hundred twelve thousand, one hundred fifty-two".