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20246328 = 2333671399
BaseRepresentation
bin100110100111…
…0111100111000
31102002121202000
41031032330320
520140340303
62001541000
7334043124
oct115167470
942077660
1020246328
1110479403
126944760
13426b59b
142990584
151b9dda3
hex134ef38

20246328 has 64 divisors (see below), whose sum is σ = 57120000. Its totient is φ = 6643296.

The previous prime is 20246309. The next prime is 20246329. The reversal of 20246328 is 82364202.

20246328 is a `hidden beast` number, since 2 + 0 + 24 + 632 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20246329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13773 + ... + 15171.

It is an arithmetic number, because the mean of its divisors is an integer number (892500).

Almost surely, 220246328 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 20246328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28560000).

20246328 is an abundant number, since it is smaller than the sum of its proper divisors (36873672).

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

20246328 is a wasteful number, since it uses less digits than its factorization.

20246328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20246328 is about 4499.5919815023. The cubic root of 20246328 is about 272.5516127022.

The spelling of 20246328 in words is "twenty million, two hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1399 1608 1809 2412 2798 3618 4197 4824 5596 7236 8394 11192 12591 14472 16788 25182 33576 37773 50364 75546 93733 100728 151092 187466 281199 302184 374932 562398 749864 843597 1124796 1687194 2249592 2530791 3374388 5061582 6748776 10123164 20246328