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1261247412 = 2232341227491
BaseRepresentation
bin100101100101101…
…0001101110110100
310020220021000012010
41023023101232310
510040334404122
6325052524220
743153266105
oct11313215664
93226230163
101261247412
11597a39937
122b2480670
131713ba159
14bd7143ac
1575ad7e0c
hex4b2d1bb4

1261247412 has 96 divisors (see below), whose sum is σ = 3166055424. Its totient is φ = 389804800.

The previous prime is 1261247399. The next prime is 1261247419. The reversal of 1261247412 is 2147421621.

1261247412 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1261247412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261247419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2568487 + ... + 2568977.

It is an arithmetic number, because the mean of its divisors is an integer number (32979744).

Almost surely, 21261247412 is an apocalyptic number.

1261247412 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 1261247412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583027712).

1261247412 is an abundant number, since it is smaller than the sum of its proper divisors (1904808012).

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

1261247412 is a wasteful number, since it uses less digits than its factorization.

1261247412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 787 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 1261247412 is about 35514.0452778897. The cubic root of 1261247412 is about 1080.4386112840.

The spelling of 1261247412 in words is "one billion, two hundred sixty-one million, two hundred forty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 227 246 276 454 491 492 681 908 943 982 1362 1473 1886 1964 2724 2829 2946 3772 5221 5658 5892 9307 10442 11293 11316 15663 18614 20131 20884 22586 27921 31326 33879 37228 40262 45172 55842 60393 62652 67758 80524 111457 111684 120786 135516 214061 222914 241572 334371 428122 445828 463013 642183 668742 856244 926026 1284366 1337484 1389039 1852052 2563511 2568732 2778078 4569737 5127022 5556156 7690533 9139474 10254044 13709211 15381066 18278948 27418422 30762132 54836844 105103951 210207902 315311853 420415804 630623706 1261247412