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1216751540 = 225173578681
BaseRepresentation
bin100100010000110…
…0010011110110100
310010210112101022212
41020201202132310
54442442022130
6320423112552
742103134404
oct11041423664
93123471285
101216751540
11574908494
1229b5a2758
1316510b134
14b7850804
1571c48e95
hex488627b4

1216751540 has 24 divisors (see below), whose sum is σ = 2705483592. Its totient is φ = 458071040.

The previous prime is 1216751527. The next prime is 1216751563. The reversal of 1216751540 is 451576121.

It can be written as a sum of positive squares in 4 ways, for example, as 240064036 + 976687504 = 15494^2 + 31252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1216751497 and 1216751506.

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 7 ways as a sum of consecutive naturals, for example, 1789001 + ... + 1789680.

It is an arithmetic number, because the mean of its divisors is an integer number (112728483).

Almost surely, 21216751540 is an apocalyptic number.

1216751540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1216751540 is an abundant number, since it is smaller than the sum of its proper divisors (1488732052).

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

1216751540 is a wasteful number, since it uses less digits than its factorization.

1216751540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578707 (or 3578705 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 1216751540 is about 34881.9658276308. The cubic root of 1216751540 is about 1067.5805057140.

The spelling of 1216751540 in words is "one billion, two hundred sixteen million, seven hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3578681 7157362 14314724 17893405 35786810 60837577 71573620 121675154 243350308 304187885 608375770 1216751540