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2095087104 = 29321141333
BaseRepresentation
bin111110011100000…
…0111111000000000
312102000021110012200
41330320013320000
513242320241404
6543520553200
7102626642445
oct17470077000
95360243180
102095087104
11985692a50
124a5782800
1327508a916
1415c36b9cc
15c3de6839
hex7ce07e00

2095087104 has 120 divisors (see below), whose sum is σ = 6596410392. Its totient is φ = 634859520.

The previous prime is 2095087103. The next prime is 2095087177. The reversal of 2095087104 is 4017805902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095087103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30022 + ... + 71354.

Almost surely, 22095087104 is an apocalyptic number.

2095087104 is a gapful number since it is divisible by the number (24) 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 2095087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298205196).

2095087104 is an abundant number, since it is smaller than the sum of its proper divisors (4501323288).

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

2095087104 is a wasteful number, since it uses less digits than its factorization.

2095087104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41368 (or 41349 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2095087104 is about 45772.1214714809. The cubic root of 2095087104 is about 1279.5797578770.

It can be divided in two parts, 209508 and 7104, that added together give a palindrome (216612).

The spelling of 2095087104 in words is "two billion, ninety-five million, eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 41333 50688 82666 123999 165332 247998 330664 371997 454663 495996 661328 743994 909326 991992 1322656 1363989 1487988 1818652 1983984 2645312 2727978 2975976 3637304 3967968 4091967 5290624 5455956 5951952 7274608 7935936 8183934 10581248 10911912 11903904 14549216 15871872 16367868 21162496 21823824 23807808 29098432 31743744 32735736 43647648 47615616 58196864 63487488 65471472 87295296 95231232 116393728 130942944 174590592 190462464 232787456 261885888 349181184 523771776 698362368 1047543552 2095087104