Search a number
-
+
1132030040 = 235431076151
BaseRepresentation
bin100001101111001…
…0110100001011000
32220220010002021112
41003132112201120
54304244430130
6304155155452
740024045061
oct10336264130
92826102245
101132030040
11531001a19
12277145b88
131506b697b
14aa4b9568
15695b1495
hex43796858

1132030040 has 64 divisors (see below), whose sum is σ = 2631087360. Its totient is φ = 438076800.

The previous prime is 1132030037. The next prime is 1132030079. The reversal of 1132030040 is 400302311.

It is a super-2 number, since 2×11320300402 = 2562984022924803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1132029997 and 1132030024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180965 + ... + 187115.

It is an arithmetic number, because the mean of its divisors is an integer number (41110740).

Almost surely, 21132030040 is an apocalyptic number.

1132030040 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 1132030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315543680).

1132030040 is an abundant number, since it is smaller than the sum of its proper divisors (1499057320).

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

1132030040 is a wasteful number, since it uses less digits than its factorization.

1132030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1132030040 is about 33645.6541027218. The cubic root of 1132030040 is about 1042.2037957175.

Adding to 1132030040 its reverse (400302311), we get a palindrome (1532332351).

The spelling of 1132030040 in words is "one billion, one hundred thirty-two million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 107 172 214 215 344 428 430 535 856 860 1070 1720 2140 4280 4601 6151 9202 12302 18404 23005 24604 30755 36808 46010 49208 61510 92020 123020 184040 246040 264493 528986 658157 1057972 1316314 1322465 2115944 2632628 2644930 3290785 5265256 5289860 6581570 10579720 13163140 26326280 28300751 56601502 113203004 141503755 226406008 283007510 566015020 1132030040