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1139393520 = 243351927763
BaseRepresentation
bin100001111101001…
…1100001111110000
32221101222012002000
41003322130033300
54313141043040
6305021054000
740143453666
oct10372341760
92841865060
101139393520
11535181241
122796b7300
13152094465
14ab474c36
156a068130
hex43e9c3f0

1139393520 has 160 divisors (see below), whose sum is σ = 4131283200. Its totient is φ = 287836416.

The previous prime is 1139393513. The next prime is 1139393551. The reversal of 1139393520 is 253939311.

1139393520 is a `hidden beast` number, since 11 + 39 + 3 + 93 + 520 = 666.

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 31 ways as a sum of consecutive naturals, for example, 27159 + ... + 54921.

It is an arithmetic number, because the mean of its divisors is an integer number (25820520).

Almost surely, 21139393520 is an apocalyptic number.

1139393520 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 1139393520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065641600).

1139393520 is an abundant number, since it is smaller than the sum of its proper divisors (2991889680).

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

1139393520 is a wasteful number, since it uses less digits than its factorization.

1139393520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27804 (or 27792 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 1139393520 is about 33754.9036437671. The cubic root of 1139393520 is about 1044.4586437719.

The spelling of 1139393520 in words is "one billion, one hundred thirty-nine million, three hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 27763 41040 55526 83289 111052 138815 166578 222104 249867 277630 333156 416445 444208 499734 527497 555260 666312 749601 832890 999468 1054994 1110520 1249335 1332624 1499202 1582491 1665780 1998936 2109988 2221040 2498670 2637485 2998404 3164982 3331560 3748005 3997872 4219976 4747473 4997340 5274970 5996808 6329964 6663120 7496010 7912455 8439952 9494946 9994680 10549940 11993616 12659928 14242419 14992020 15824910 18989892 19989360 21099880 23737365 25319856 28484838 29984040 31649820 37979784 42199760 47474730 56969676 59968080 63299640 71212095 75959568 94949460 113939352 126599280 142424190 189898920 227878704 284848380 379797840 569696760 1139393520