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1390076820 = 22325113132243
BaseRepresentation
bin101001011011010…
…1110001110010100
310120212200012220200
41102312232032110
510321324424240
6345534100500
746306313046
oct12266561624
93525605820
101390076820
11653731320
1232964a730
13191cb5b82
14d288ba96
1582084930
hex52dae394

1390076820 has 144 divisors (see below), whose sum is σ = 4616644032. Its totient is φ = 335761920.

The previous prime is 1390076813. The next prime is 1390076869. The reversal of 1390076820 is 286700931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618619 + ... + 620861.

It is an arithmetic number, because the mean of its divisors is an integer number (32060028).

Almost surely, 21390076820 is an apocalyptic number.

1390076820 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 1390076820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308322016).

1390076820 is an abundant number, since it is smaller than the sum of its proper divisors (3226567212).

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

1390076820 is a wasteful number, since it uses less digits than its factorization.

1390076820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1390076820 is about 37283.7339868206. The cubic root of 1390076820 is about 1116.0395889143.

The spelling of 1390076820 in words is "one billion, three hundred ninety million, seventy-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 313 330 396 495 626 660 939 990 1252 1565 1878 1980 2243 2817 3130 3443 3756 4486 4695 5634 6260 6729 6886 8972 9390 10329 11215 11268 13458 13772 14085 17215 18780 20187 20658 22430 24673 26916 28170 30987 33645 34430 40374 41316 44860 49346 51645 56340 61974 67290 68860 74019 80748 98692 100935 103290 123365 123948 134580 148038 154935 201870 206580 222057 246730 296076 309870 370095 403740 444114 493460 619740 702059 740190 888228 1110285 1404118 1480380 2106177 2220570 2808236 3510295 4212354 4441140 6318531 7020590 7722649 8424708 10530885 12637062 14041180 15445298 21061770 23167947 25274124 30890596 31592655 38613245 42123540 46335894 63185310 69503841 77226490 92671788 115839735 126370620 139007682 154452980 231679470 278015364 347519205 463358940 695038410 1390076820