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1039678420 = 2251129891831
BaseRepresentation
bin111101111110000…
…011101111010100
32200110100010200011
4331332003233110
54112124202140
6251055530004
734523056264
oct7576035724
92613303604
101039678420
11493964870
12250229904
13137520541
149c1197a4
156141ccea
hex3df83bd4

1039678420 has 96 divisors (see below), whose sum is σ = 2492985600. Its totient is φ = 360729600.

The previous prime is 1039678417. The next prime is 1039678421. The reversal of 1039678420 is 248769301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1039678421) by changing a digit.

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, 566905 + ... + 568735.

It is an arithmetic number, because the mean of its divisors is an integer number (25968600).

Almost surely, 21039678420 is an apocalyptic number.

1039678420 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 1039678420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246492800).

1039678420 is an abundant number, since it is smaller than the sum of its proper divisors (1453307180).

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

1039678420 is a wasteful number, since it uses less digits than its factorization.

1039678420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1039678420 is about 32244.0447214676. The cubic root of 1039678420 is about 1013.0549661957.

The spelling of 1039678420 in words is "one billion, thirty-nine million, six hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 89 110 116 145 178 220 290 319 356 445 580 638 890 979 1276 1595 1780 1831 1958 2581 3190 3662 3916 4895 5162 6380 7324 9155 9790 10324 12905 18310 19580 20141 25810 28391 36620 40282 51620 53099 56782 80564 100705 106198 113564 141955 162959 201410 212396 265495 283910 325918 402820 530990 567820 584089 651836 814795 1061980 1168178 1629590 1792549 2336356 2920445 3259180 3585098 4725811 5840890 7170196 8962745 9451622 11681780 17925490 18903244 23629055 35850980 47258110 51983921 94516220 103967842 207935684 259919605 519839210 1039678420