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1232430240 = 25354754629
BaseRepresentation
bin100100101110101…
…0110010010100000
310011220000221110110
41021131112102200
510011000231430
6322143131320
742353325036
oct11135262240
93156027413
101232430240
11582747098
122a48a3b40
1316843a682
14b9972556
15732e47b0
hex497564a0

1232430240 has 96 divisors (see below), whose sum is σ = 3964826880. Its totient is φ = 321649664.

The previous prime is 1232430233. The next prime is 1232430289. The reversal of 1232430240 is 420342321.

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, 4755 + ... + 49874.

It is an arithmetic number, because the mean of its divisors is an integer number (41300280).

Almost surely, 21232430240 is an apocalyptic number.

1232430240 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 1232430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982413440).

1232430240 is an abundant number, since it is smaller than the sum of its proper divisors (2732396640).

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

1232430240 is a wasteful number, since it uses less digits than its factorization.

1232430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54694 (or 54686 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1232430240 is about 35105.9858143878. The cubic root of 1232430240 is about 1072.1464584184.

Adding to 1232430240 its reverse (420342321), we get a palindrome (1652772561).

The spelling of 1232430240 in words is "one billion, two hundred thirty-two million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 11280 22560 54629 109258 163887 218516 273145 327774 437032 546290 655548 819435 874064 1092580 1311096 1638870 1748128 2185160 2567563 2622192 3277740 4370320 5135126 5244384 6555480 7702689 8740640 10270252 12837815 13110960 15405378 20540504 25675630 26221920 30810756 38513445 41081008 51351260 61621512 77026890 82162016 102702520 123243024 154053780 205405040 246486048 308107560 410810080 616215120 1232430240