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1232400520 = 235135397461
BaseRepresentation
bin100100101110100…
…1111000010001000
310011212222102200201
41021131033002020
510010443304040
6322142341544
742353142301
oct11135170210
93155872621
101232400520
1158272682a
122a488a8b4
13168429ca0
14b99657a8
15732daa9a
hex4974f088

1232400520 has 128 divisors (see below), whose sum is σ = 3080579040. Its totient is φ = 440893440.

The previous prime is 1232400497. The next prime is 1232400523. The reversal of 1232400520 is 250042321.

It can be written as a sum of positive squares in 16 ways, for example, as 18714276 + 1213686244 = 4326^2 + 34838^2 .

It is a super-2 number, since 2×12324005202 = 3037622083392540800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1232400523) 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 31 ways as a sum of consecutive naturals, for example, 2673090 + ... + 2673550.

Almost surely, 21232400520 is an apocalyptic number.

1232400520 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 1232400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540289520).

1232400520 is an abundant number, since it is smaller than the sum of its proper divisors (1848178520).

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

1232400520 is a wasteful number, since it uses less digits than its factorization.

1232400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1232400520 is about 35105.5625221987. The cubic root of 1232400520 is about 1072.1378400946.

Adding to 1232400520 its reverse (250042321), we get a palindrome (1482442841).

The spelling of 1232400520 in words is "one billion, two hundred thirty-two million, four hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 97 104 106 130 194 212 260 265 388 424 461 485 520 530 689 776 922 970 1060 1261 1378 1844 1940 2120 2305 2522 2756 3445 3688 3880 4610 5044 5141 5512 5993 6305 6890 9220 10088 10282 11986 12610 13780 18440 20564 23972 24433 25220 25705 27560 29965 41128 44717 47944 48866 50440 51410 59930 66833 89434 97732 102820 119860 122165 133666 178868 195464 205640 223585 239720 244330 267332 317629 334165 357736 447170 488660 534664 581321 635258 668330 894340 977320 1162642 1270516 1336660 1588145 1788680 2325284 2370001 2541032 2673320 2906605 3176290 4650568 4740002 5813210 6352580 9480004 11626420 11850005 12705160 18960008 23252840 23700010 30810013 47400020 61620026 94800040 123240052 154050065 246480104 308100130 616200260 1232400520