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20830096 = 24721632
BaseRepresentation
bin100111101110…
…1011110010000
31110012021112001
41033131132100
520313030341
62022243344
7342024100
oct117353620
943167461
1020830096
1110837a61
126b86554
134414201
142aa3200
151c66d31
hex13dd790

20830096 has 45 divisors (see below), whose sum is σ = 47237211. Its totient is φ = 8872416.

The previous prime is 20830067. The next prime is 20830133. The reversal of 20830096 is 69003802.

The square root of 20830096 is 4564.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127711 + ... + 127873.

Almost surely, 220830096 is an apocalyptic number.

20830096 is the 4564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20830096

20830096 is an abundant number, since it is smaller than the sum of its proper divisors (26407115).

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

20830096 is an equidigital number, since it uses as much as digits as its factorization.

20830096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 20830096 is about 275.1463507507.

Adding to 20830096 its reverse (69003802), we get a palindrome (89833898).

It can be divided in two parts, 20 and 830096, that added together give a triangular number (830116 = T1288).

The spelling of 20830096 in words is "twenty million, eight hundred thirty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 163 196 326 392 652 784 1141 1304 2282 2608 4564 7987 9128 15974 18256 26569 31948 53138 63896 106276 127792 185983 212552 371966 425104 743932 1301881 1487864 2603762 2975728 5207524 10415048 20830096