Search a number
-
+
1027371306 = 2313194331601
BaseRepresentation
bin111101001111000…
…111000100101010
32122121011212111010
4331033013010222
54101001340211
6245540044350
734313340423
oct7517070452
92577155433
101027371306
11487a192a5
122480936b6
13134b01820
149a63464a
15602db4a6
hex3d3c712a

1027371306 has 64 divisors (see below), whose sum is σ = 2336100480. Its totient is φ = 298598400.

The previous prime is 1027371283. The next prime is 1027371311. The reversal of 1027371306 is 6031737201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640906 + ... + 642506.

It is an arithmetic number, because the mean of its divisors is an integer number (36501570).

Almost surely, 21027371306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027371306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168050240).

1027371306 is an abundant number, since it is smaller than the sum of its proper divisors (1308729174).

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

1027371306 is a wasteful number, since it uses less digits than its factorization.

1027371306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071.

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 1027371306 is about 32052.6333707544. The cubic root of 1027371306 is about 1009.0417686867.

The spelling of 1027371306 in words is "one billion, twenty-seven million, three hundred seventy-one thousand, three hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 433 494 741 866 1299 1482 1601 2598 3202 4803 5629 8227 9606 11258 16454 16887 20813 24681 30419 33774 41626 49362 60838 62439 91257 106951 124878 182514 213902 320853 395447 641706 693233 790894 1186341 1386466 2079699 2372682 4159398 9012029 13171427 18024058 26342854 27036087 39514281 54072174 79028562 171228551 342457102 513685653 1027371306