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1399855440 = 243523367691
BaseRepresentation
bin101001101110000…
…0001100101010000
310121120002000122210
41103130001211100
510331330333230
6350523432120
746455401124
oct12334014520
93546060583
101399855440
11659200125
12330985640
1319402aa39
14d3cb5584
1582d66eb0
hex53701950

1399855440 has 160 divisors (see below), whose sum is σ = 4547137536. Its totient is φ = 355576320.

The previous prime is 1399855439. The next prime is 1399855453. The reversal of 1399855440 is 445589931.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1399855440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2025495 + ... + 2026185.

Almost surely, 21399855440 is an apocalyptic number.

1399855440 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 1399855440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273568768).

1399855440 is an abundant number, since it is smaller than the sum of its proper divisors (3147282096).

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

1399855440 is a wasteful number, since it uses less digits than its factorization.

1399855440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 1399855440 is about 37414.6420536132. The cubic root of 1399855440 is about 1118.6504365481.

The spelling of 1399855440 in words is "one billion, three hundred ninety-nine million, eight hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 367 368 460 552 690 691 734 920 1101 1104 1380 1382 1468 1835 1840 2073 2202 2760 2764 2936 3455 3670 4146 4404 5505 5520 5528 5872 6910 7340 8292 8441 8808 10365 11010 11056 13820 14680 15893 16584 16882 17616 20730 22020 25323 27640 29360 31786 33168 33764 41460 42205 44040 47679 50646 55280 63572 67528 79465 82920 84410 88080 95358 101292 126615 127144 135056 158930 165840 168820 190716 202584 238395 253230 253597 254288 317860 337640 381432 405168 476790 506460 507194 635720 675280 760791 762864 953580 1012920 1014388 1267985 1271440 1521582 1907160 2025840 2028776 2535970 3043164 3803955 3814320 4057552 5071940 5832731 6086328 7607910 10143880 11665462 12172656 15215820 17498193 20287760 23330924 29163655 30431640 34996386 46661848 58327310 60863280 69992772 87490965 93323696 116654620 139985544 174981930 233309240 279971088 349963860 466618480 699927720 1399855440