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1399009140 = 22325191273221
BaseRepresentation
bin101001101100011…
…0010111101110100
310121111111000202100
41103120302331310
510331121243030
6350453342100
746445244564
oct12330627564
93544430670
101399009140
11658782301
12330637930
13193ac2779
14d3b34da4
1582c4b360
hex53632f74

1399009140 has 144 divisors (see below), whose sum is σ = 4503582720. Its totient is φ = 350542080.

The previous prime is 1399009133. The next prime is 1399009163. The reversal of 1399009140 is 419009931.

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

It is a junction number, because it is equal to n+sod(n) for n = 1399009095 and 1399009104.

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 47 ways as a sum of consecutive naturals, for example, 432730 + ... + 435950.

It is an arithmetic number, because the mean of its divisors is an integer number (31274880).

Almost surely, 21399009140 is an apocalyptic number.

1399009140 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 1399009140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251791360).

1399009140 is an abundant number, since it is smaller than the sum of its proper divisors (3104573580).

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

1399009140 is a wasteful number, since it uses less digits than its factorization.

1399009140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1399009140 is about 37403.3306003623. The cubic root of 1399009140 is about 1118.4249597633.

The spelling of 1399009140 in words is "one billion, three hundred ninety-nine million, nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 127 171 180 190 228 254 285 342 380 381 508 570 635 684 762 855 1140 1143 1270 1524 1710 1905 2286 2413 2540 3221 3420 3810 4572 4826 5715 6442 7239 7620 9652 9663 11430 12065 12884 14478 16105 19326 21717 22860 24130 28956 28989 32210 36195 38652 43434 48260 48315 57978 61199 64420 72390 86868 96630 108585 115956 122398 144780 144945 183597 193260 217170 244796 289890 305995 367194 409067 434340 550791 579780 611990 734388 818134 917985 1101582 1223980 1227201 1636268 1835970 2045335 2203164 2454402 2753955 3671940 3681603 4090670 4908804 5507910 6136005 7363206 7772273 8181340 11015820 12272010 14726412 15544546 18408015 23316819 24544020 31089092 36816030 38861365 46633638 69950457 73632060 77722730 93267276 116584095 139900914 155445460 233168190 279801828 349752285 466336380 699504570 1399009140