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2136530000 = 24541119423
BaseRepresentation
bin111111101011000…
…1101110001010000
312111220020222011202
41333112031301100
513333422430000
6552001130332
7103642130303
oct17726156120
95456228152
102136530000
119a7019680
124b76299a8
1328083b147
14163a78b3a
15c7880dd5
hex7f58dc50

2136530000 has 100 divisors (see below), whose sum is σ = 5643293568. Its totient is φ = 776880000.

The previous prime is 2136529981. The next prime is 2136530027. The reversal of 2136530000 is 356312.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100289 + ... + 119711.

Almost surely, 22136530000 is an apocalyptic number.

2136530000 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 2136530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821646784).

2136530000 is an abundant number, since it is smaller than the sum of its proper divisors (3506763568).

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

2136530000 is a wasteful number, since it uses less digits than its factorization.

2136530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19462 (or 19441 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 2136530000 is about 46222.6135133010. The cubic root of 2136530000 is about 1287.9618476926.

Adding to 2136530000 its reverse (356312), we get a palindrome (2136886312).

The spelling of 2136530000 in words is "two billion, one hundred thirty-six million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 19423 22000 27500 38846 55000 77692 97115 110000 155384 194230 213653 310768 388460 427306 485575 776920 854612 971150 1068265 1553840 1709224 1942300 2136530 2427875 3418448 3884600 4273060 4855750 5341325 7769200 8546120 9711500 10682650 12139375 17092240 19423000 21365300 24278750 26706625 38846000 42730600 48557500 53413250 85461200 97115000 106826500 133533125 194230000 213653000 267066250 427306000 534132500 1068265000 2136530000