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20400328 = 2313279191
BaseRepresentation
bin100110111010…
…0100011001000
31102101102222201
41031310203020
520210302303
62005125544
7335254114
oct115644310
942342881
1020400328
1110574083
1269b98b4
1342c3700
1429d0744
151bce81d
hex13748c8

20400328 has 48 divisors (see below), whose sum is σ = 42163200. Its totient is φ = 9247680.

The previous prime is 20400307. The next prime is 20400337. The reversal of 20400328 is 82300402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106713 + ... + 106903.

It is an arithmetic number, because the mean of its divisors is an integer number (878400).

Almost surely, 220400328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081600).

20400328 is an abundant number, since it is smaller than the sum of its proper divisors (21762872).

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

20400328 is a wasteful number, since it uses less digits than its factorization.

20400328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 20400328 is about 4516.6722263188. The cubic root of 20400328 is about 273.2409060221.

The spelling of 20400328 in words is "twenty million, four hundred thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 79 104 158 169 191 316 338 382 632 676 764 1027 1352 1528 2054 2483 4108 4966 8216 9932 13351 15089 19864 26702 30178 32279 53404 60356 64558 106808 120712 129116 196157 258232 392314 784628 1569256 2550041 5100082 10200164 20400328