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1275423006 = 2311213337401
BaseRepresentation
bin100110000000101…
…0110100100011110
310021212221012110010
41030001112210132
510103002014011
6330320424050
743414626264
oct11401264436
93255835403
101275423006
115a4a41200
122b7178026
13174311490
14c1564434
1576e881a6
hex4c05691e

1275423006 has 96 divisors (see below), whose sum is σ = 3036013344. Its totient is φ = 354816000.

The previous prime is 1275422999. The next prime is 1275423029. The reversal of 1275423006 is 6003245721.

It is a super-4 number, since 4×12754230064 (a number of 38 digits) contains 4444 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3180406 + ... + 3180806.

It is an arithmetic number, because the mean of its divisors is an integer number (31625139).

Almost surely, 21275423006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1275423006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518006672).

1275423006 is an abundant number, since it is smaller than the sum of its proper divisors (1760590338).

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

1275423006 is a wasteful number, since it uses less digits than its factorization.

1275423006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1275423006 is about 35713.0649202781. The cubic root of 1275423006 is about 1084.4713475792.

Adding to 1275423006 its reverse (6003245721), we get a palindrome (7278668727).

The spelling of 1275423006 in words is "one billion, two hundred seventy-five million, four hundred twenty-three thousand, six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 337 363 401 429 674 726 802 858 1011 1203 1573 2022 2406 3146 3707 4381 4411 4719 5213 7414 8762 8822 9438 10426 11121 13143 13233 15639 22242 26286 26466 31278 40777 48191 48521 57343 81554 96382 97042 114686 122331 135137 144573 145563 172029 244662 270274 289146 291126 344058 405411 530101 630773 810822 1060202 1261546 1486507 1590303 1756781 1892319 2973014 3180606 3513562 3784638 4459521 5270343 8919042 10540686 16351577 19324591 32703154 38649182 49054731 57973773 98109462 115947546 212570501 425141002 637711503 1275423006