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1408139280 = 2432515712457
BaseRepresentation
bin101001111101110…
…1000000000010000
310122010122212221200
41103323220000100
510340440424110
6351421151200
746615662222
oct12373500020
93563585850
101408139280
11662948979
123336bb500
1319596b412
14d5030412
15839516c0
hex53ee8010

1408139280 has 120 divisors (see below), whose sum is σ = 4759504152. Its totient is φ = 373082112.

The previous prime is 1408139279. The next prime is 1408139309. The reversal of 1408139280 is 829318041.

It can be written as a sum of positive squares in 4 ways, for example, as 204604416 + 1203534864 = 14304^2 + 34692^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 106812 + ... + 119268.

Almost surely, 21408139280 is an apocalyptic number.

1408139280 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 1408139280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379752076).

1408139280 is an abundant number, since it is smaller than the sum of its proper divisors (3351364872).

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

1408139280 is a wasteful number, since it uses less digits than its factorization.

1408139280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12633 (or 12624 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1408139280 is about 37525.1819449287. The cubic root of 1408139280 is about 1120.8526882442.

It can be divided in two parts, 14081 and 39280, that added together give a square (53361 = 2312).

The spelling of 1408139280 in words is "one billion, four hundred eight million, one hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 157 180 240 314 360 471 628 720 785 942 1256 1413 1570 1884 2355 2512 2826 3140 3768 4710 5652 6280 7065 7536 9420 11304 12457 12560 14130 18840 22608 24914 28260 37371 37680 49828 56520 62285 74742 99656 112113 113040 124570 149484 186855 199312 224226 249140 298968 373710 448452 498280 560565 597936 747420 896904 996560 1121130 1494840 1793808 1955749 2242260 2989680 3911498 4484520 5867247 7822996 8969040 9778745 11734494 15645992 17601741 19557490 23468988 29336235 31291984 35203482 39114980 46937976 58672470 70406964 78229960 88008705 93875952 117344940 140813928 156459920 176017410 234689880 281627856 352034820 469379760 704069640 1408139280