Search a number
-
+
1071986112 = 26327332539
BaseRepresentation
bin111111111001010…
…011010111000000
32202201010112111100
4333321103113000
54143412023422
6254212214400
735364505641
oct7771232700
92681115440
101071986112
1150012103a
1225b00a400
13141122a12
14a25296c8
15641a07ac
hex3fe535c0

1071986112 has 84 divisors (see below), whose sum is σ = 3078058360. Its totient is φ = 356700672.

The previous prime is 1071986101. The next prime is 1071986117. The reversal of 1071986112 is 2116891701.

It is a super-2 number, since 2×10719861122 = 2298308448641753088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071986117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420939 + ... + 423477.

Almost surely, 21071986112 is an apocalyptic number.

1071986112 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 1071986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539029180).

1071986112 is an abundant number, since it is smaller than the sum of its proper divisors (2006072248).

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

1071986112 is a wasteful number, since it uses less digits than its factorization.

1071986112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The square root of 1071986112 is about 32741.1990006475. The cubic root of 1071986112 is about 1023.4415697060.

The spelling of 1071986112 in words is "one billion, seventy-one million, nine hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 733 1466 2199 2539 2932 4398 5078 5864 6597 7617 8796 10156 11728 13194 15234 17592 20312 22851 23456 26388 30468 35184 40624 45702 46912 52776 60936 70368 81248 91404 105552 121872 140736 162496 182808 211104 243744 365616 422208 487488 731232 1462464 1861087 3722174 5583261 7444348 11166522 14888696 16749783 22333044 29777392 33499566 44666088 59554784 66999132 89332176 119109568 133998264 178664352 267996528 357328704 535993056 1071986112