Search a number
-
+
1309861872 = 2432114319231
BaseRepresentation
bin100111000010010…
…1110011111110000
310101021201212200200
41032010232133300
510140311034442
6333550515200
744313433164
oct11604563760
93337655620
101309861872
11612423680
12306805b00
1317b4ab9c7
14c5d6aca4
1579edc34c
hex4e12e7f0

1309861872 has 120 divisors (see below), whose sum is σ = 4092261888. Its totient is φ = 387676800.

The previous prime is 1309861867. The next prime is 1309861873. The reversal of 1309861872 is 2781689031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309861873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58497 + ... + 77727.

Almost surely, 21309861872 is an apocalyptic number.

1309861872 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 1309861872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046130944).

1309861872 is an abundant number, since it is smaller than the sum of its proper divisors (2782400016).

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

1309861872 is a wasteful number, since it uses less digits than its factorization.

1309861872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19299 (or 19290 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1309861872 is about 36192.0139257268. The cubic root of 1309861872 is about 1094.1457226396.

The spelling of 1309861872 in words is "one billion, three hundred nine million, eight hundred sixty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 66 72 86 88 99 129 132 144 172 176 198 258 264 344 387 396 473 516 528 688 774 792 946 1032 1419 1548 1584 1892 2064 2838 3096 3784 4257 5676 6192 7568 8514 11352 17028 19231 22704 34056 38462 57693 68112 76924 115386 153848 173079 211541 230772 307696 346158 423082 461544 634623 692316 826933 846164 923088 1269246 1384632 1653866 1692328 1903869 2480799 2538492 2769264 3307732 3384656 3807738 4961598 5076984 6615464 7442397 7615476 9096263 9923196 10153968 13230928 14884794 15230952 18192526 19846392 27288789 29769588 30461904 36385052 39692784 54577578 59539176 72770104 81866367 109155156 119078352 145540208 163732734 218310312 327465468 436620624 654930936 1309861872