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1239931420 = 2257133718413
BaseRepresentation
bin100100111100111…
…1101101000011100
310012102011001010221
41021321331220130
510014410301140
6323012011124
742504146260
oct11171755034
93172131127
101239931420
115869aa912
122a7300aa4
13169b65a40
14ba9660a0
1573cc714a
hex49e7da1c

1239931420 has 96 divisors (see below), whose sum is σ = 3291539328. Its totient is φ = 381791232.

The previous prime is 1239931411. The next prime is 1239931463. The reversal of 1239931420 is 241399321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58134 + ... + 76546.

It is an arithmetic number, because the mean of its divisors is an integer number (34286868).

Almost surely, 21239931420 is an apocalyptic number.

1239931420 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 1239931420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645769664).

1239931420 is an abundant number, since it is smaller than the sum of its proper divisors (2051607908).

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

1239931420 is a wasteful number, since it uses less digits than its factorization.

1239931420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18479 (or 18477 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 1239931420 is about 35212.6599392889. The cubic root of 1239931420 is about 1074.3172647001.

The spelling of 1239931420 in words is "one billion, two hundred thirty-nine million, nine hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 37 52 65 70 74 91 130 140 148 182 185 259 260 364 370 455 481 518 740 910 962 1036 1295 1820 1924 2405 2590 3367 4810 5180 6734 9620 13468 16835 18413 33670 36826 67340 73652 92065 128891 184130 239369 257782 368260 478738 515564 644455 681281 957476 1196845 1288910 1362562 1675583 2393690 2577820 2725124 3351166 3406405 4768967 4787380 6702332 6812810 8377915 8856653 9537934 13625620 16755830 17713306 19075868 23844835 33511660 35426612 44283265 47689670 61996571 88566530 95379340 123993142 177133060 247986284 309982855 619965710 1239931420