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1309888972 = 227259227499
BaseRepresentation
bin100111000010011…
…0101000111001100
310101021210020212101
41032010311013030
510140312421342
6333551244444
744313605200
oct11604650714
93337706771
101309888972
11612441a77
12306819724
1317b4bb142
14c5d76b00
1579ee53b7
hex4e1351cc

1309888972 has 72 divisors (see below), whose sum is σ = 2729160000. Its totient is φ = 548333856.

The previous prime is 1309888963. The next prime is 1309888991. The reversal of 1309888972 is 2798889031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2624779 + ... + 2625277.

It is an arithmetic number, because the mean of its divisors is an integer number (37905000).

Almost surely, 21309888972 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 1309888972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364580000).

1309888972 is an abundant number, since it is smaller than the sum of its proper divisors (1419271028).

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

1309888972 is a wasteful number, since it uses less digits than its factorization.

1309888972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The square root of 1309888972 is about 36192.3883157771. The cubic root of 1309888972 is about 1094.1532682558.

The spelling of 1309888972 in words is "one billion, three hundred nine million, eight hundred eighty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 227 236 413 454 499 826 908 998 1589 1652 1996 2891 3178 3493 5782 6356 6986 11123 11564 13393 13972 22246 24451 26786 29441 44492 48902 53572 58882 93751 97804 113273 117764 187502 206087 226546 375004 412174 453092 656257 792911 824348 1312514 1442609 1585822 2625028 2885218 3171644 5550377 5770436 6683107 11100754 13366214 22201508 26732428 46781749 93563498 187126996 327472243 654944486 1309888972