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2134760000 = 265483643
BaseRepresentation
bin111111100111101…
…1101101001000000
312111202221001012012
41333033131221000
513332444310000
6551455152052
7103621106042
oct17717355100
95452831165
102134760000
119a601a86a
124b6b15628
1328036b5c9
14163737a92
15c7631735
hex7f3dda40

2134760000 has 140 divisors (see below), whose sum is σ = 5365619952. Its totient is φ = 842304000.

The previous prime is 2134759999. The next prime is 2134760003. The reversal of 2134760000 is 674312.

It is not an unprimeable number, because it can be changed into a prime (2134760003) 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, 3319679 + ... + 3320321.

Almost surely, 22134760000 is an apocalyptic number.

2134760000 is a gapful number since it is divisible by the number (20) 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 2134760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682809976).

2134760000 is an abundant number, since it is smaller than the sum of its proper divisors (3230859952).

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

2134760000 is an frugal number, since it uses more digits than its factorization.

2134760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2134760000 is about 46203.4630736701. The cubic root of 2134760000 is about 1287.6060804291.

The spelling of 2134760000 in words is "two billion, one hundred thirty-four million, seven hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 125 160 166 200 250 320 332 400 415 500 625 643 664 800 830 1000 1250 1286 1328 1600 1660 2000 2075 2500 2572 2656 3215 3320 4000 4150 5000 5144 5312 6430 6640 8000 8300 10000 10288 10375 12860 13280 16075 16600 20000 20576 20750 25720 26560 32150 33200 40000 41152 41500 51440 51875 53369 64300 66400 80375 83000 102880 103750 106738 128600 132800 160750 166000 205760 207500 213476 257200 266845 321500 332000 401875 415000 426952 514400 533690 643000 664000 803750 830000 853904 1028800 1067380 1286000 1334225 1607500 1660000 1707808 2134760 2572000 2668450 3215000 3320000 3415616 4269520 5144000 5336900 6430000 6671125 8539040 10673800 12860000 13342250 17078080 21347600 25720000 26684500 33355625 42695200 53369000 66711250 85390400 106738000 133422500 213476000 266845000 426952000 533690000 1067380000 2134760000