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1465012340 = 22511279297
BaseRepresentation
bin101011101010010…
…0101000001110100
310210002200100010022
41113110211001310
511000020343330
6401212144312
751206254001
oct12724450164
93702610108
101465012340
11691a63500
1234a768098
131a469200c
14dc7d68a8
1588937ae5
hex57525074

1465012340 has 108 divisors (see below), whose sum is σ = 3460292388. Its totient is φ = 520565760.

The previous prime is 1465012319. The next prime is 1465012391. The reversal of 1465012340 is 432105641.

It can be written as a sum of positive squares in 2 ways, for example, as 592046224 + 872966116 = 24332^2 + 29546^2 .

It is a super-2 number, since 2×14650123402 = 4292522312704551200, 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 35 ways as a sum of consecutive naturals, for example, 15103172 + ... + 15103268.

Almost surely, 21465012340 is an apocalyptic number.

1465012340 is a gapful number since it is divisible by the number (10) 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 1465012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730146194).

1465012340 is an abundant number, since it is smaller than the sum of its proper divisors (1995280048).

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

1465012340 is a wasteful number, since it uses less digits than its factorization.

1465012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1465012340 is about 38275.4796181576. The cubic root of 1465012340 is about 1135.7439383933.

Adding to 1465012340 its reverse (432105641), we get a palindrome (1897117981).

It can be divided in two parts, 146501 and 2340, that added together give a palindrome (148841).

The spelling of 1465012340 in words is "one billion, four hundred sixty-five million, twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 97 110 121 158 194 220 242 316 388 395 484 485 605 790 869 970 1067 1210 1580 1738 1940 2134 2420 3476 4268 4345 5335 6241 7663 8690 9559 10670 11737 12482 15326 17380 19118 21340 23474 24964 30652 31205 38236 38315 46948 47795 58685 62410 68651 76630 84293 95590 117370 124820 137302 153260 168586 191180 234740 274604 337172 343255 421465 605377 686510 755161 842930 927223 1210754 1373020 1510322 1685860 1854446 2421508 3020644 3026885 3708892 3775805 4636115 6053770 6659147 7551610 9272230 12107540 13318294 15103220 18544460 26636588 33295735 66591470 73250617 133182940 146501234 293002468 366253085 732506170 1465012340