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3112513040 = 2457132291867
BaseRepresentation
bin1011100110000101…
…0010111000010000
322000220202001012202
42321201102320100
522333300404130
61232503542332
7140062632020
oct27141227020
98026661182
103112513040
111357a2912a
1272a45a9a8
133a7ab96c0
14217533a80
151333bb145
hexb9852e10

3112513040 has 160 divisors (see below), whose sum is σ = 8950260480. Its totient is φ = 980232192.

The previous prime is 3112513009. The next prime is 3112513043. The reversal of 3112513040 is 403152113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3112513043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1666187 + ... + 1668053.

It is an arithmetic number, because the mean of its divisors is an integer number (55939128).

Almost surely, 23112513040 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 3112513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475130240).

3112513040 is an abundant number, since it is smaller than the sum of its proper divisors (5837747440).

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

3112513040 is a wasteful number, since it uses less digits than its factorization.

3112513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 3112513040 is about 55789.9008782055. The cubic root of 3112513040 is about 1460.0589580244.

Adding to 3112513040 its reverse (403152113), we get a palindrome (3515665153).

The spelling of 3112513040 in words is "three billion, one hundred twelve million, five hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 229 260 280 364 455 458 520 560 728 910 916 1040 1145 1456 1603 1820 1832 1867 2290 2977 3206 3640 3664 3734 4580 5954 6412 7280 7468 8015 9160 9335 11908 12824 13069 14885 14936 16030 18320 18670 20839 23816 24271 25648 26138 29770 29872 32060 37340 41678 47632 48542 52276 59540 64120 65345 74680 83356 97084 104195 104552 119080 121355 128240 130690 149360 166712 169897 194168 208390 209104 238160 242710 261380 333424 339794 388336 416780 427543 485420 522760 679588 833560 849485 855086 970840 1045520 1359176 1667120 1698970 1710172 1941680 2137715 2718352 2992801 3397940 3420344 4275430 5558059 5985602 6795880 6840688 8550860 11116118 11971204 13591760 14964005 17101720 22232236 23942408 27790295 29928010 34203440 38906413 44464472 47884816 55580590 59856020 77812826 88928944 111161180 119712040 155625652 194532065 222322360 239424080 311251304 389064130 444644720 622502608 778128260 1556256520 3112513040