Search a number
-
+
1077697536 = 21032912097
BaseRepresentation
bin100000000111100…
…0101110000000000
32210002212201002120
41000033011300000
54201342310121
6254534444240
735464164216
oct10017056000
92702781076
101077697536
11503372123
12260b03680
13142372566
14a31b4cb6
156492cbc6
hex403c5c00

1077697536 has 88 divisors (see below), whose sum is σ = 2971752720. Its totient is φ = 346816512.

The previous prime is 1077697531. The next prime is 1077697559. The reversal of 1077697536 is 6357967701.

It is a super-2 number, since 2×10776975362 = 2322863958200942592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077697531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83040 + ... + 95136.

Almost surely, 21077697536 is an apocalyptic number.

1077697536 is a gapful number since it is divisible by the number (16) 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 1077697536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485876360).

1077697536 is an abundant number, since it is smaller than the sum of its proper divisors (1894055184).

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

1077697536 is a wasteful number, since it uses less digits than its factorization.

1077697536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12149 (or 12131 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 51.

The square root of 1077697536 is about 32828.3038855193. The cubic root of 1077697536 is about 1025.2559459195.

The spelling of 1077697536 in words is "one billion, seventy-seven million, six hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2784 3072 3712 5568 7424 11136 12097 14848 22272 24194 29696 36291 44544 48388 72582 89088 96776 145164 193552 290328 350813 387104 580656 701626 774208 1052439 1161312 1403252 1548416 2104878 2322624 2806504 3096832 4209756 4645248 5613008 6193664 8419512 9290496 11226016 12387328 16839024 18580992 22452032 33678048 37161984 44904064 67356096 89808128 134712192 179616256 269424384 359232512 538848768 1077697536