Search a number
-
+
1011064704 = 27313337601
BaseRepresentation
bin111100010000111…
…001111110000000
32121110111102000220
4330100321332000
54032313032304
6244154343040
734024623336
oct7420717600
92543442026
101011064704
114797a0971
1224272aa80
13131612550
14983cbb56
155db69ad9
hex3c439f80

1011064704 has 128 divisors (see below), whose sum is σ = 2905637280. Its totient is φ = 309657600.

The previous prime is 1011064699. The next prime is 1011064723. The reversal of 1011064704 is 4074601101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682004 + ... + 1682604.

Almost surely, 21011064704 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 1011064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452818640).

1011064704 is an abundant number, since it is smaller than the sum of its proper divisors (1894572576).

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

1011064704 is a wasteful number, since it uses less digits than its factorization.

1011064704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1011064704 is about 31797.2436541283. The cubic root of 1011064704 is about 1003.6747145987.

Adding to 1011064704 its reverse (4074601101), we get a palindrome (5085665805).

The spelling of 1011064704 in words is "one billion, eleven million, sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 337 384 416 601 624 674 832 1011 1202 1248 1348 1664 1803 2022 2404 2496 2696 3606 4044 4381 4808 4992 5392 7212 7813 8088 8762 9616 10784 13143 14424 15626 16176 17524 19232 21568 23439 26286 28848 31252 32352 35048 38464 43136 46878 52572 57696 62504 64704 70096 76928 93756 105144 115392 125008 129408 140192 187512 202537 210288 230784 250016 280384 375024 405074 420576 500032 560768 607611 750048 810148 841152 1000064 1215222 1500096 1620296 1682304 2430444 2632981 3000192 3240592 4860888 5265962 6481184 7898943 9721776 10531924 12962368 15797886 19443552 21063848 25924736 31595772 38887104 42127696 63191544 77774208 84255392 126383088 168510784 252766176 337021568 505532352 1011064704