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1147030240 = 25523535881
BaseRepresentation
bin100010001011110…
…0100101011100000
32221221100011200111
41010113210223200
54322114431430
6305452501104
740265411326
oct10427445340
92857304614
101147030240
11539517884
1228017a794
13153839425
14ac4a1d16
156aa75c2a
hex445e4ae0

1147030240 has 96 divisors (see below), whose sum is σ = 2881521216. Its totient is φ = 430510080.

The previous prime is 1147030237. The next prime is 1147030249. The reversal of 1147030240 is 420307411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147030249) 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, 192100 + ... + 197980.

It is an arithmetic number, because the mean of its divisors is an integer number (30015846).

Almost surely, 21147030240 is an apocalyptic number.

1147030240 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 1147030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440760608).

1147030240 is an abundant number, since it is smaller than the sum of its proper divisors (1734490976).

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

1147030240 is a wasteful number, since it uses less digits than its factorization.

1147030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1147030240 is about 33867.8348879877. The cubic root of 1147030240 is about 1046.7869245751.

Adding to 1147030240 its reverse (420307411), we get a palindrome (1567337651).

The spelling of 1147030240 in words is "one billion, one hundred forty-seven million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 80 92 106 115 160 184 212 230 265 368 424 460 530 736 848 920 1060 1219 1696 1840 2120 2438 3680 4240 4876 5881 6095 8480 9752 11762 12190 19504 23524 24380 29405 39008 47048 48760 58810 94096 97520 117620 135263 188192 195040 235240 270526 311693 470480 541052 623386 676315 940960 1082104 1246772 1352630 1558465 2164208 2493544 2705260 3116930 4328416 4987088 5410520 6233860 7168939 9974176 10821040 12467720 14337878 21642080 24935440 28675756 35844695 49870880 57351512 71689390 114703024 143378780 229406048 286757560 573515120 1147030240