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1031890000 = 2454195431
BaseRepresentation
bin111101100000010…
…110010001010000
32122220200102222011
4331200112101100
54103130440000
6250220552304
734366630441
oct7540262120
92586612864
101031890000
1148a525259
122496b2694
13135a244cb
149b08d2c8
15608d02ba
hex3d816450

1031890000 has 100 divisors (see below), whose sum is σ = 2630283040. Its totient is φ = 390960000.

The previous prime is 1031889997. The next prime is 1031890001. The reversal of 1031890000 is 981301.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031890001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 187285 + ... + 192715.

Almost surely, 21031890000 is an apocalyptic number.

1031890000 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 1031890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315141520).

1031890000 is an abundant number, since it is smaller than the sum of its proper divisors (1598393040).

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

1031890000 is an equidigital number, since it uses as much as digits as its factorization.

1031890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 1031890000 is about 32123.0446875759. The cubic root of 1031890000 is about 1010.5189634387.

The spelling of 1031890000 in words is "one billion, thirty-one million, eight hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 625 760 950 1000 1250 1520 1900 2000 2375 2500 3800 4750 5000 5431 7600 9500 10000 10862 11875 19000 21724 23750 27155 38000 43448 47500 54310 86896 95000 103189 108620 135775 190000 206378 217240 271550 412756 434480 515945 543100 678875 825512 1031890 1086200 1357750 1651024 2063780 2172400 2579725 2715500 3394375 4127560 5159450 5431000 6788750 8255120 10318900 10862000 12898625 13577500 20637800 25797250 27155000 41275600 51594500 54310000 64493125 103189000 128986250 206378000 257972500 515945000 1031890000