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1067540012 = 227115776007
BaseRepresentation
bin111111101000010…
…101111000101100
32202101202122120222
4333220111320230
54141242240022
6253533030512
735311640360
oct7750257054
92671678528
101067540012
114a8664680
12259625438
131402270a6
14a1acd2a0
1563ac3242
hex3fa15e2c

1067540012 has 48 divisors (see below), whose sum is σ = 2333603328. Its totient is φ = 415134720.

The previous prime is 1067539961. The next prime is 1067540017. The reversal of 1067540012 is 2100457601.

It is a super-2 number, since 2×10675400122 = 2279283354441920288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1067540017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174713 + ... + 180719.

It is an arithmetic number, because the mean of its divisors is an integer number (48616736).

Almost surely, 21067540012 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 1067540012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166801664).

1067540012 is an abundant number, since it is smaller than the sum of its proper divisors (1266063316).

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

1067540012 is a wasteful number, since it uses less digits than its factorization.

1067540012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1067540012 is about 32673.2308166793. The cubic root of 1067540012 is about 1022.0246891068.

Adding to 1067540012 its reverse (2100457601), we get a palindrome (3167997613).

The spelling of 1067540012 in words is "one billion, sixty-seven million, five hundred forty thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 577 1154 2308 4039 6007 6347 8078 12014 12694 16156 24028 25388 42049 44429 66077 84098 88858 132154 168196 177716 264308 462539 925078 1850156 3466039 6932078 13864156 24262273 38126429 48524546 76252858 97049092 152505716 266885003 533770006 1067540012