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1140390000 = 24325412671
BaseRepresentation
bin100001111111000…
…1111100001110000
32221110211210222200
41003332033201300
54313414440000
6305054303200
740155104121
oct10376174160
92843753880
101140390000
115357a1982
12279ab7b00
13152352ba9
14ab654048
156a1b3500
hex43f8f870

1140390000 has 150 divisors (see below), whose sum is σ = 3988423296. Its totient is φ = 304080000.

The previous prime is 1140389989. The next prime is 1140390077. The reversal of 1140390000 is 930411.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 83665 + ... + 96335.

Almost surely, 21140390000 is an apocalyptic number.

1140390000 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 1140390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994211648).

1140390000 is an abundant number, since it is smaller than the sum of its proper divisors (2848033296).

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

1140390000 is a wasteful number, since it uses less digits than its factorization.

1140390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1140390000 is about 33769.6609399621. The cubic root of 1140390000 is about 1044.7630393022.

The spelling of 1140390000 in words is "one billion, one hundred forty million, three hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 12671 15000 18000 22500 25342 30000 38013 45000 50684 63355 76026 90000 101368 114039 126710 152052 190065 202736 228078 253420 304104 316775 380130 456156 506840 570195 608208 633550 760260 912312 950325 1013680 1140390 1267100 1520520 1583875 1824624 1900650 2280780 2534200 2850975 3041040 3167750 3801300 4561560 4751625 5068400 5701950 6335500 7602600 7919375 9123120 9503250 11403900 12671000 14254875 15205200 15838750 19006500 22807800 23758125 25342000 28509750 31677500 38013000 45615600 47516250 57019500 63355000 71274375 76026000 95032500 114039000 126710000 142548750 190065000 228078000 285097500 380130000 570195000 1140390000