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20093328 = 2432139537
BaseRepresentation
bin100110010100…
…1100110010000
31101210211212100
41030221212100
520120441303
61554400400
7332535063
oct114514620
941724770
1020093328
1110384462
126890100
134216a58
1429508da
151b6d8a3
hex1329990

20093328 has 30 divisors (see below), whose sum is σ = 56233814. Its totient is φ = 6697728.

The previous prime is 20093327. The next prime is 20093347. The reversal of 20093328 is 82339002.

It can be written as a sum of positive squares in only one way, i.e., 18766224 + 1327104 = 4332^2 + 1152^2 .

It is not an unprimeable number, because it can be changed into a prime (20093327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69625 + ... + 69912.

Almost surely, 220093328 is an apocalyptic number.

It is an amenable number.

20093328 is an abundant number, since it is smaller than the sum of its proper divisors (36140486).

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

20093328 is a wasteful number, since it uses less digits than its factorization.

20093328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139551 (or 139542 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20093328 is about 4482.5581981721. The cubic root of 20093328 is about 271.8633252220.

It can be divided in two parts, 200 and 93328, that added together give a triangular number (93528 = T432).

The spelling of 20093328 in words is "twenty million, ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 139537 279074 418611 558148 837222 1116296 1255833 1674444 2232592 2511666 3348888 5023332 6697776 10046664 20093328