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1140063840 = 253251941669
BaseRepresentation
bin100001111110011…
…1111111001100000
32221110020020120200
41003330333321200
54313324020330
6305043305200
740152245166
oct10374777140
92843206520
101140063840
11535599923
1227997b200
1315226a5b6
14ab5ab236
156a14ba60
hex43f3fe60

1140063840 has 144 divisors (see below), whose sum is σ = 4095327600. Its totient is φ = 288009216.

The previous prime is 1140063833. The next prime is 1140063851. The reversal of 1140063840 is 483600411.

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

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, 6526 + ... + 48194.

It is an arithmetic number, because the mean of its divisors is an integer number (28439775).

Almost surely, 21140063840 is an apocalyptic number.

1140063840 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 1140063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047663800).

1140063840 is an abundant number, since it is smaller than the sum of its proper divisors (2955263760).

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

1140063840 is a wasteful number, since it uses less digits than its factorization.

1140063840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41709 (or 41698 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1140063840 is about 33764.8314078421. The cubic root of 1140063840 is about 1044.6634264783.

The spelling of 1140063840 in words is "one billion, one hundred forty million, sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 41669 83338 125007 166676 208345 250014 333352 375021 416690 500028 625035 666704 750042 791711 833380 1000056 1250070 1333408 1500084 1583422 1666760 1875105 2000112 2375133 2500140 3000168 3166844 3333520 3750210 3958555 4000224 4750266 5000280 6000336 6333688 6667040 7125399 7500420 7917110 9500532 10000560 11875665 12000672 12667376 14250798 15000840 15834220 19001064 20001120 23751330 25334752 28501596 30001680 31668440 35626995 38002128 47502660 57003192 60003360 63336880 71253990 76004256 95005320 114006384 126673760 142507980 190010640 228012768 285015960 380021280 570031920 1140063840