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1140292160 = 26572322133
BaseRepresentation
bin100001111110111…
…0111101001000000
32221110122211202222
41003331313221000
54313403322120
6305052230212
740154215640
oct10375675100
92843584688
101140292160
11535735417
12279a6b368
1315231a4b7
14ab62a520
156a194525
hex43f77a40

1140292160 has 112 divisors (see below), whose sum is σ = 3238292736. Its totient is φ = 373942272.

The previous prime is 1140292157. The next prime is 1140292169. The reversal of 1140292160 is 612920411.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1140292169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40454 + ... + 62586.

It is an arithmetic number, because the mean of its divisors is an integer number (28913328).

Almost surely, 21140292160 is an apocalyptic number.

1140292160 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 1140292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619146368).

1140292160 is an abundant number, since it is smaller than the sum of its proper divisors (2098000576).

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

1140292160 is a wasteful number, since it uses less digits than its factorization.

1140292160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22180 (or 22170 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1140292160 is about 33768.2122713063. The cubic root of 1140292160 is about 1044.7331598927.

The spelling of 1140292160 in words is "one billion, one hundred forty million, two hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1472 1610 1840 2240 2576 3220 3680 5152 6440 7360 10304 12880 22133 25760 44266 51520 88532 110665 154931 177064 221330 309862 354128 442660 509059 619724 708256 774655 885320 1018118 1239448 1416512 1549310 1770640 2036236 2478896 2545295 3098620 3541280 3563413 4072472 4957792 5090590 6197240 7082560 7126826 8144944 9915584 10181180 12394480 14253652 16289888 17817065 20362360 24788960 28507304 32579776 35634130 40724720 49577920 57014608 71268260 81449440 114029216 142536520 162898880 228058432 285073040 570146080 1140292160