Search a number
-
+
115780992 = 2732937281
BaseRepresentation
bin1101110011010…
…10110110000000
322001212021122220
412321222312000
5214114442432
615253331040
72604056625
oct671526600
9261767586
10115780992
115a39aa78
1232936a80
131acaa782
141153c34c
15a27072c
hex6e6ad80

115780992 has 128 divisors (see below), whose sum is σ = 327909600. Its totient is φ = 36126720.

The previous prime is 115780981. The next prime is 115781009. The reversal of 115780992 is 299087511.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411892 + ... + 412172.

Almost surely, 2115780992 is an apocalyptic number.

115780992 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 115780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163954800).

115780992 is an abundant number, since it is smaller than the sum of its proper divisors (212128608).

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

115780992 is a wasteful number, since it uses less digits than its factorization.

115780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 115780992 is about 10760.1576196634. The cubic root of 115780992 is about 487.3927769446.

The spelling of 115780992 in words is "one hundred fifteen million, seven hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 64 74 87 96 111 116 128 148 174 192 222 232 281 296 348 384 444 464 562 592 696 843 888 928 1073 1124 1184 1392 1686 1776 1856 2146 2248 2368 2784 3219 3372 3552 3712 4292 4496 4736 5568 6438 6744 7104 8149 8584 8992 10397 11136 12876 13488 14208 16298 17168 17984 20794 24447 25752 26976 31191 32596 34336 35968 41588 48894 51504 53952 62382 65192 68672 83176 97788 103008 107904 124764 130384 137344 166352 195576 206016 249528 260768 301513 332704 391152 412032 499056 521536 603026 665408 782304 904539 998112 1043072 1206052 1330816 1564608 1809078 1996224 2412104 3129216 3618156 3992448 4824208 7236312 9648416 14472624 19296832 28945248 38593664 57890496 115780992