Search a number
-
+
1068130944 = 27321754541
BaseRepresentation
bin111111101010100…
…110001010000000
32202102212200012100
4333222212022000
54141420142234
6253553430400
735316651246
oct7752461200
92672780170
101068130944
114a8a28651
1225986b400
131403a305a
14a1c04796
1563b8d399
hex3faa6280

1068130944 has 96 divisors (see below), whose sum is σ = 3254521140. Its totient is φ = 335093760.

The previous prime is 1068130933. The next prime is 1068130969. The reversal of 1068130944 is 4490318601.

It can be written as a sum of positive squares in 2 ways, for example, as 1041998400 + 26132544 = 32280^2 + 5112^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10681309442 = 2281807427060662272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1068130899 and 1068130908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7687 + ... + 46854.

Almost surely, 21068130944 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 1068130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627260570).

1068130944 is an abundant number, since it is smaller than the sum of its proper divisors (2186390196).

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

1068130944 is a wasteful number, since it uses less digits than its factorization.

1068130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54578 (or 54563 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1068130944 is about 32682.2726259971. The cubic root of 1068130944 is about 1022.2132333873.

The spelling of 1068130944 in words is "one billion, sixty-eight million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 54541 109082 163623 218164 327246 436328 490869 654492 872656 927197 981738 1308984 1745312 1854394 1963476 2617968 2781591 3490624 3708788 3926952 5235936 5563182 6981248 7417576 7853904 8344773 10471872 11126364 14835152 15707808 16689546 20943744 22252728 29670304 31415616 33379092 44505456 59340608 62831232 66758184 89010912 118681216 133516368 178021824 267032736 356043648 534065472 1068130944