Search a number
-
+
1149841240 = 235171988997
BaseRepresentation
bin100010010001001…
…0010111101011000
32222010121222122121
41010202102331120
54323324404430
6310033031024
740331326552
oct10442227530
92863558577
101149841240
11540067819
122810b5474
131542b1a42
14ac9d44d2
156ae2da7a
hex44892f58

1149841240 has 64 divisors (see below), whose sum is σ = 2883535200. Its totient is φ = 410093568.

The previous prime is 1149841211. The next prime is 1149841241. The reversal of 1149841240 is 421489411.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1149841196 and 1149841205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149841241) by changing a digit.

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, 31579 + ... + 57418.

Almost surely, 21149841240 is an apocalyptic number.

1149841240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1149841240 is an abundant number, since it is smaller than the sum of its proper divisors (1733693960).

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

1149841240 is a wasteful number, since it uses less digits than its factorization.

1149841240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89044 (or 89040 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1149841240 is about 33909.3090463371. The cubic root of 1149841240 is about 1047.6413390128.

The spelling of 1149841240 in words is "one billion, one hundred forty-nine million, eight hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 12920 88997 177994 355988 444985 711976 889970 1512949 1690943 1779940 3025898 3381886 3559880 6051796 6763772 7564745 8454715 12103592 13527544 15129490 16909430 28746031 30258980 33818860 57492062 60517960 67637720 114984124 143730155 229968248 287460310 574920620 1149841240