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1139246240 = 255111913389
BaseRepresentation
bin100001111100111…
…1000010010100000
32221101200201001012
41003321320102200
54313121334430
6305014000052
740142301416
oct10371702240
92841621035
101139246240
11535090620
12279646028
13152042402
14ab4372b6
156a039695
hex43e784a0

1139246240 has 96 divisors (see below), whose sum is σ = 2952391680. Its totient is φ = 411980800.

The previous prime is 1139246239. The next prime is 1139246263. The reversal of 1139246240 is 426429311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1139246197 and 1139246206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334466 + ... + 337854.

It is an arithmetic number, because the mean of its divisors is an integer number (30754080).

Almost surely, 21139246240 is an apocalyptic number.

1139246240 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 1139246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476195840).

1139246240 is an abundant number, since it is smaller than the sum of its proper divisors (1813145440).

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

1139246240 is a wasteful number, since it uses less digits than its factorization.

1139246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 1139246240 is about 33752.7219643098. The cubic root of 1139246240 is about 1044.4136389821.

The spelling of 1139246240 in words is "one billion, one hundred thirty-nine million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 191 220 352 382 440 764 880 955 1528 1760 1910 2101 3056 3389 3820 4202 6112 6778 7640 8404 10505 13556 15280 16808 16945 21010 27112 30560 33616 33890 37279 42020 54224 67232 67780 74558 84040 108448 135560 149116 168080 186395 271120 298232 336160 372790 542240 596464 647299 745580 1192928 1294598 1491160 2589196 2982320 3236495 5178392 5964640 6472990 7120289 10356784 12945980 14240578 20713568 25891960 28481156 35601445 51783920 56962312 71202890 103567840 113924624 142405780 227849248 284811560 569623120 1139246240