Search a number
-
+
1235443040 = 255131734939
BaseRepresentation
bin100100110100011…
…0101110101100000
310012002201000020122
41021220311311200
510012233134130
6322331455412
742421043516
oct11150656540
93162630218
101235443040
11584414707
122a58b7568
13168c53ab0
14ba1184b6
15736dc2e5
hex49a35d60

1235443040 has 96 divisors (see below), whose sum is σ = 3328244640. Its totient is φ = 429318144.

The previous prime is 1235443003. The next prime is 1235443043. The reversal of 1235443040 is 403445321.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1235443043) 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, 17891 + ... + 52829.

It is an arithmetic number, because the mean of its divisors is an integer number (34669215).

Almost surely, 21235443040 is an apocalyptic number.

1235443040 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 1235443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664122320).

1235443040 is an abundant number, since it is smaller than the sum of its proper divisors (2092801600).

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

1235443040 is a wasteful number, since it uses less digits than its factorization.

1235443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34984 (or 34976 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 1235443040 is about 35148.8696831065. The cubic root of 1235443040 is about 1073.0194041807.

Adding to 1235443040 its reverse (403445321), we get a palindrome (1638888361).

The spelling of 1235443040 in words is "one billion, two hundred thirty-five million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 34939 35360 69878 139756 174695 279512 349390 454207 559024 593963 698780 908414 1118048 1187926 1397560 1816828 2271035 2375852 2795120 2969815 3633656 4542070 4751704 5590240 5939630 7267312 7721519 9084140 9503408 11879260 14534624 15443038 18168280 19006816 23758520 30886076 36336560 38607595 47517040 61772152 72673120 77215190 95034080 123544304 154430380 247088608 308860760 617721520 1235443040