Search a number
-
+
1230431520 = 253510723957
BaseRepresentation
bin100100101010110…
…1110010100100000
310011202021101201210
41021111232110200
510004442302040
6322032230120
742330331623
oct11125562440
93152241653
101230431520
1158160145a
122a409b340
13167bba9b6
14b95b1dba
157304c480
hex4956e520

1230431520 has 96 divisors (see below), whose sum is σ = 3912245568. Its totient is φ = 325035008.

The previous prime is 1230431513. The next prime is 1230431537. The reversal of 1230431520 is 251340321.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 39382 + ... + 63338.

It is an arithmetic number, because the mean of its divisors is an integer number (40752558).

Almost surely, 21230431520 is an apocalyptic number.

1230431520 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 1230431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956122784).

1230431520 is an abundant number, since it is smaller than the sum of its proper divisors (2681814048).

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

1230431520 is a wasteful number, since it uses less digits than its factorization.

1230431520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24082 (or 24074 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1230431520 is about 35077.5073230696. The cubic root of 1230431520 is about 1071.5665526932.

Adding to 1230431520 its reverse (251340321), we get a palindrome (1481771841).

The spelling of 1230431520 in words is "one billion, two hundred thirty million, four hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 8560 10272 12840 17120 23957 25680 47914 51360 71871 95828 119785 143742 191656 239570 287484 359355 383312 479140 574968 718710 766624 958280 1149936 1437420 1916560 2299872 2563399 2874840 3833120 5126798 5749680 7690197 10253596 11499360 12816995 15380394 20507192 25633990 30760788 38450985 41014384 51267980 61521576 76901970 82028768 102535960 123043152 153803940 205071920 246086304 307607880 410143840 615215760 1230431520