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2053790000 = 2454593
BaseRepresentation
bin111101001101010…
…0101100100110000
312022010120100020022
41322122211210300
513201232240000
6535443503012
7101615632643
oct17232454460
95263510208
102053790000
11964346909
12493987a68
1326965b872
14156a9ba5a
15c048a585
hex7a6a5930

2053790000 has 100 divisors (see below), whose sum is σ = 5058162120. Its totient is φ = 807592000.

The previous prime is 2053789987. The next prime is 2053790003. The reversal of 2053790000 is 973502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is not an unprimeable number, because it can be changed into a prime (2053790003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34809971 + ... + 34810029.

Almost surely, 22053790000 is an apocalyptic number.

2053790000 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 2053790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529081060).

2053790000 is an abundant number, since it is smaller than the sum of its proper divisors (3004372120).

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

2053790000 is an frugal number, since it uses more digits than its factorization.

2053790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 2053790000 is about 45318.7599124248. The cubic root of 2053790000 is about 1271.1164671188.

The spelling of 2053790000 in words is "two billion, fifty-three million, seven hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 625 944 1000 1180 1250 1475 2000 2360 2500 2950 3481 4720 5000 5900 6962 7375 10000 11800 13924 14750 17405 23600 27848 29500 34810 36875 55696 59000 69620 73750 87025 118000 139240 147500 174050 205379 278480 295000 348100 410758 435125 590000 696200 821516 870250 1026895 1392400 1643032 1740500 2053790 2175625 3286064 3481000 4107580 4351250 5134475 6962000 8215160 8702500 10268950 16430320 17405000 20537900 25672375 34810000 41075800 51344750 82151600 102689500 128361875 205379000 256723750 410758000 513447500 1026895000 2053790000