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2092840000 = 265452321
BaseRepresentation
bin111110010111110…
…0011010001000000
312101212001021202121
41330233203101000
513241231340000
6543400454024
7102601563226
oct17457432100
95355037677
102092840000
11984398739
124a4a7a314
13274781b84
1415bd44b16
15c3b00b1a
hex7cbe3440

2092840000 has 70 divisors (see below), whose sum is σ = 5189662214. Its totient is φ = 837120000.

The previous prime is 2092839997. The next prime is 2092840007. The reversal of 2092840000 is 482902.

It can be written as a sum of positive squares in 5 ways, for example, as 1057030144 + 1035809856 = 32512^2 + 32184^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2092840007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13840 + ... + 66160.

Almost surely, 22092840000 is an apocalyptic number.

2092840000 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 2092840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594831107).

2092840000 is an abundant number, since it is smaller than the sum of its proper divisors (3096822214).

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

2092840000 is an frugal number, since it uses more digits than its factorization.

2092840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52353 (or 52328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2092840000 is about 45747.5682413831. The cubic root of 2092840000 is about 1279.1221194025.

The spelling of 2092840000 in words is "two billion, ninety-two million, eight hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 52321 104642 209284 261605 418568 523210 837136 1046420 1308025 1674272 2092840 2616050 3348544 4185680 5232100 6540125 8371360 10464200 13080250 16742720 20928400 26160500 32700625 41856800 52321000 65401250 83713600 104642000 130802500 209284000 261605000 418568000 523210000 1046420000 2092840000