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1139286240 = 253253721383
BaseRepresentation
bin100001111101000…
…0010000011100000
32221101202201220200
41003322002003200
54313124124430
6305014505200
740142526141
oct10372020340
92841681820
101139286240
11535108684
12279665200
13152057691
14ab447ac8
156a046460
hex43e820e0

1139286240 has 144 divisors (see below), whose sum is σ = 3993077088. Its totient is φ = 295584768.

The previous prime is 1139286217. The next prime is 1139286259. The reversal of 1139286240 is 426829311.

1139286240 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 28 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1139286195 and 1139286204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42589 + ... + 63971.

It is an arithmetic number, because the mean of its divisors is an integer number (27729702).

Almost surely, 21139286240 is an apocalyptic number.

1139286240 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 1139286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996538544).

1139286240 is an abundant number, since it is smaller than the sum of its proper divisors (2853790848).

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

1139286240 is a wasteful number, since it uses less digits than its factorization.

1139286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21441 (or 21430 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1139286240 is about 33753.3145039121. The cubic root of 1139286240 is about 1044.4258622853.

The spelling of 1139286240 in words is "one billion, one hundred thirty-nine million, two hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 21383 26640 42766 53280 64149 85532 106915 128298 171064 192447 213830 256596 320745 342128 384894 427660 513192 641490 684256 769788 791171 855320 962235 1026384 1282980 1539576 1582342 1710640 1924470 2052768 2373513 2565960 3079152 3164684 3421280 3848940 3955855 4747026 5131920 6158304 6329368 7120539 7697880 7911710 9494052 10263840 11867565 12658736 14241078 15395760 15823420 18988104 23735130 25317472 28482156 30791520 31646840 35602695 37976208 47470260 56964312 63293680 71205390 75952416 94940520 113928624 126587360 142410780 189881040 227857248 284821560 379762080 569643120 1139286240