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1206714132 = 2233134120963
BaseRepresentation
bin100011111101100…
…1111111100010100
310010002122102121000
41013323033330110
54432404323012
6315424023300
741621621001
oct10773177424
93102572530
101206714132
1156a182208
12298161b30
13163005540
14b639a8a8
1570e14ddc
hex47ecff14

1206714132 has 96 divisors (see below), whose sum is σ = 3451512960. Its totient is φ = 362223360.

The previous prime is 1206714121. The next prime is 1206714137. The reversal of 1206714132 is 2314176021.

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

It is a junction number, because it is equal to n+sod(n) for n = 1206714096 and 1206714105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206714137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47083 + ... + 68045.

It is an arithmetic number, because the mean of its divisors is an integer number (35953260).

Almost surely, 21206714132 is an apocalyptic number.

1206714132 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 1206714132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725756480).

1206714132 is an abundant number, since it is smaller than the sum of its proper divisors (2244798828).

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

1206714132 is a wasteful number, since it uses less digits than its factorization.

1206714132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21030 (or 21022 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1206714132 is about 34737.7911214861. The cubic root of 1206714132 is about 1064.6367815143.

The spelling of 1206714132 in words is "one billion, two hundred six million, seven hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 82 108 117 123 156 164 234 246 351 369 468 492 533 702 738 1066 1107 1404 1476 1599 2132 2214 3198 4428 4797 6396 9594 14391 19188 20963 28782 41926 57564 62889 83852 125778 188667 251556 272519 377334 545038 566001 754668 817557 859483 1090076 1132002 1635114 1718966 2264004 2452671 2578449 3270228 3437932 4905342 5156898 7358013 7735347 9810684 10313796 11173279 14716026 15470694 22346558 23206041 29432052 30941388 33519837 44693116 46412082 67039674 92824164 100559511 134079348 201119022 301678533 402238044 603357066 1206714132