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2108738240 = 26574122961
BaseRepresentation
bin111110110110000…
…1100101011000000
312102221222000001022
41331230030223000
513304314110430
6545125325012
7103153656620
oct17554145300
95387860038
102108738240
11992367284
124aa266768
13277b5a30b
141600c2880
15c51e14e5
hex7db0cac0

2108738240 has 112 divisors (see below), whose sum is σ = 5879006784. Its totient is φ = 705331200.

The previous prime is 2108738239. The next prime is 2108738251. The reversal of 2108738240 is 428378012.

It is a Cunningham number, because it is equal to 459212-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2108738240.

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, 80360 + ... + 103320.

It is an arithmetic number, because the mean of its divisors is an integer number (52491132).

Almost surely, 22108738240 is an apocalyptic number.

2108738240 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 2108738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939503392).

2108738240 is an abundant number, since it is smaller than the sum of its proper divisors (3770268544).

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

2108738240 is a wasteful number, since it uses less digits than its factorization.

2108738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23026 (or 23016 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2108738240 is about 45920.9999891117. Note that the first 4 decimals coincide. The cubic root of 2108738240 is about 1282.3528988086.

The spelling of 2108738240 in words is "two billion, one hundred eight million, seven hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 140 160 164 205 224 280 287 320 328 410 448 560 574 656 820 1120 1148 1312 1435 1640 2240 2296 2624 2870 3280 4592 5740 6560 9184 11480 13120 18368 22960 22961 45920 45922 91840 91844 114805 160727 183688 229610 321454 367376 459220 642908 734752 803635 918440 941401 1285816 1469504 1607270 1836880 1882802 2571632 3214540 3673760 3765604 4707005 5143264 6429080 6589807 7347520 7531208 9414010 10286528 12858160 13179614 15062416 18828020 25716320 26359228 30124832 32949035 37656040 51432640 52718456 60249664 65898070 75312080 105436912 131796140 150624160 210873824 263592280 301248320 421747648 527184560 1054369120 2108738240