Search a number
-
+
1269268056 = 23347299649
BaseRepresentation
bin100101110100111…
…0111111001011000
310021110100111110000
41023221313321120
510044413034211
6325540453000
743311412650
oct11351677130
93243314400
101269268056
115a1517971
122b50aa160
13172c67ab4
14c0801360
157666e656
hex4ba77e58

1269268056 has 160 divisors (see below), whose sum is σ = 4203540000. Its totient is φ = 350106624.

The previous prime is 1269268043. The next prime is 1269268069. The reversal of 1269268056 is 6508629621.

It is an interprime number because it is at equal distance from previous prime (1269268043) and next prime (1269268069).

It is a super-2 number, since 2×12692680562 = 3222082795964038272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126720 + ... + 136368.

It is an arithmetic number, because the mean of its divisors is an integer number (26272125).

Almost surely, 21269268056 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 1269268056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101770000).

1269268056 is an abundant number, since it is smaller than the sum of its proper divisors (2934271944).

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

1269268056 is a wasteful number, since it uses less digits than its factorization.

1269268056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9703 (or 9690 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1269268056 is about 35626.7884603707. The cubic root of 1269268056 is about 1082.7240493669.

The spelling of 1269268056 in words is "one billion, two hundred sixty-nine million, two hundred sixty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 522 567 609 648 696 756 783 812 1044 1134 1218 1512 1566 1624 1827 2088 2268 2349 2436 3132 3654 4536 4698 4872 5481 6264 7308 9396 9649 10962 14616 16443 18792 19298 21924 28947 32886 38596 43848 57894 65772 67543 77192 86841 115788 131544 135086 173682 202629 231576 260523 270172 279821 347364 405258 521046 540344 559642 607887 694728 781569 810516 839463 1042092 1119284 1215774 1563138 1621032 1678926 1823661 1958747 2084184 2238568 2431548 2518389 3126276 3357852 3647322 3917494 4863096 5036778 5470983 5876241 6252552 6715704 7294644 7555167 7834988 10073556 10941966 11752482 14589288 15110334 15669976 17628723 20147112 21883932 22665501 23504964 30220668 35257446 43767864 45331002 47009928 52886169 60441336 70514892 90662004 105772338 141029784 158658507 181324008 211544676 317317014 423089352 634634028 1269268056