Search a number
-
+
1126590740 = 2251119925733
BaseRepresentation
bin100001100100110…
…0110100100010100
32220111212201221222
41003021212210110
54301401400430
6303442425512
736626602052
oct10311464424
92814781858
101126590740
11528a27330
12275362298
1314c530c52
14a98a11d2
1568d899e5
hex43266914

1126590740 has 48 divisors (see below), whose sum is σ = 2593987200. Its totient is φ = 407594880.

The previous prime is 1126590721. The next prime is 1126590749. The reversal of 1126590740 is 470956211.

It is a super-3 number, since 3×11265907403 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1126590740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126590749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30914 + ... + 56646.

It is an arithmetic number, because the mean of its divisors is an integer number (54041400).

Almost surely, 21126590740 is an apocalyptic number.

1126590740 is a gapful number since it is divisible by the number (10) 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 1126590740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296993600).

1126590740 is an abundant number, since it is smaller than the sum of its proper divisors (1467396460).

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

1126590740 is a wasteful number, since it uses less digits than its factorization.

1126590740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25952 (or 25950 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 1126590740 is about 33564.7246376311. The cubic root of 1126590740 is about 1040.5318839989.

The spelling of 1126590740 in words is "one billion, one hundred twenty-six million, five hundred ninety thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 8756 10945 21890 25733 43780 51466 102932 128665 257330 283063 514660 566126 1132252 1415315 2830630 5120867 5661260 10241734 20483468 25604335 51208670 56329537 102417340 112659074 225318148 281647685 563295370 1126590740