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2100140240 = 245117133613
BaseRepresentation
bin111110100101101…
…1001100011010000
312102100210011210212
41331023121203100
513300113441430
6544221143252
7103020616562
oct17513314320
95370704725
102100140240
119885244a0
124a73bab28
13276139943
1415ccc5332
15c4593b95
hex7d2d98d0

2100140240 has 80 divisors (see below), whose sum is σ = 5401904256. Its totient is φ = 752908800.

The previous prime is 2100140227. The next prime is 2100140257. The reversal of 2100140240 is 420410012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45674 + ... + 79286.

Almost surely, 22100140240 is an apocalyptic number.

2100140240 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 2100140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700952128).

2100140240 is an abundant number, since it is smaller than the sum of its proper divisors (3301764016).

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

2100140240 is a wasteful number, since it uses less digits than its factorization.

2100140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33708 (or 33702 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2100140240 is about 45827.2870678595. The cubic root of 2100140240 is about 1280.6076704517.

Adding to 2100140240 its reverse (420410012), we get a palindrome (2520550252).

The spelling of 2100140240 in words is "two billion, one hundred million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 220 284 355 440 568 710 781 880 1136 1420 1562 2840 3124 3905 5680 6248 7810 12496 15620 31240 33613 62480 67226 134452 168065 268904 336130 369743 537808 672260 739486 1344520 1478972 1848715 2386523 2689040 2957944 3697430 4773046 5915888 7394860 9546092 11932615 14789720 19092184 23865230 26251753 29579440 38184368 47730460 52503506 95460920 105007012 131258765 190921840 210014024 262517530 420028048 525035060 1050070120 2100140240