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1240946940 = 2235167271457
BaseRepresentation
bin100100111110111…
…0101100011111100
310012111001122011210
41021331311203330
510020140300230
6323045444420
742515606052
oct11175654374
93174048153
101240946940
11587533892
122a7710710
1316a13003c
14bab4c1d2
1573e27eb0
hex49f758fc

1240946940 has 96 divisors (see below), whose sum is σ = 3516033024. Its totient is φ = 327006720.

The previous prime is 1240946939. The next prime is 1240946983. The reversal of 1240946940 is 496490421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2715192 + ... + 2715648.

It is an arithmetic number, because the mean of its divisors is an integer number (36625344).

Almost surely, 21240946940 is an apocalyptic number.

1240946940 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 1240946940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758016512).

1240946940 is an abundant number, since it is smaller than the sum of its proper divisors (2275086084).

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

1240946940 is a wasteful number, since it uses less digits than its factorization.

1240946940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1240946940 is about 35227.0768018012. The cubic root of 1240946940 is about 1074.6104779486.

The spelling of 1240946940 in words is "one billion, two hundred forty million, nine hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 271 334 457 501 542 668 813 835 914 1002 1084 1355 1371 1626 1670 1828 2004 2285 2505 2710 2742 3252 3340 4065 4570 5010 5420 5484 6855 8130 9140 10020 13710 16260 27420 45257 76319 90514 123847 135771 152638 181028 226285 228957 247694 271542 305276 371541 381595 452570 457914 495388 543084 619235 678855 743082 763190 905140 915828 1144785 1238470 1357710 1486164 1526380 1857705 2289570 2476940 2715420 3715410 4579140 7430820 20682449 41364898 62047347 82729796 103412245 124094694 206824490 248189388 310236735 413648980 620473470 1240946940