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20064832 = 262343317
BaseRepresentation
bin100110010001…
…0101001000000
31101202101202221
41030202221000
520114033312
61554020424
7332356024
oct114425100
941671687
1020064832
1110365007
126877714
134206aa8
142944384
151b65207
hex1322a40

20064832 has 56 divisors (see below), whose sum is σ = 42647616. Its totient is φ = 9343488.

The previous prime is 20064823. The next prime is 20064833. The reversal of 20064832 is 23846002.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20064797 and 20064806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20064833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63138 + ... + 63454.

Almost surely, 220064832 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 20064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21323808).

20064832 is an abundant number, since it is smaller than the sum of its proper divisors (22582784).

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

20064832 is a wasteful number, since it uses less digits than its factorization.

20064832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 20064832 is about 4479.3785283229. The cubic root of 20064832 is about 271.7347471781.

It can be divided in two parts, 200648 and 32, that multiplied together give a triangular number (6420736 = T3583).

The spelling of 20064832 in words is "twenty million, sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 172 184 317 344 368 634 688 736 989 1268 1376 1472 1978 2536 2752 3956 5072 7291 7912 10144 13631 14582 15824 20288 27262 29164 31648 54524 58328 63296 109048 116656 218096 233312 313513 436192 466624 627026 872384 1254052 2508104 5016208 10032416 20064832