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20528420 = 22511234057
BaseRepresentation
bin100111001001…
…1110100100100
31102121221200212
41032103310210
520223402140
62011554552
7336326423
oct116236444
942557625
1020528420
1110651340
126a5ba58
134339ac3
142a252ba
151c07765
hex1393d24

20528420 has 48 divisors (see below), whose sum is σ = 49085568. Its totient is φ = 7138560.

The previous prime is 20528411. The next prime is 20528423. The reversal of 20528420 is 2482502.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (20528423) 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, 3032 + ... + 7088.

It is an arithmetic number, because the mean of its divisors is an integer number (1022616).

Almost surely, 220528420 is an apocalyptic number.

20528420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20528420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24542784).

20528420 is an abundant number, since it is smaller than the sum of its proper divisors (28557148).

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

20528420 is a wasteful number, since it uses less digits than its factorization.

20528420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 20528420 is about 4530.8299460474. The cubic root of 20528420 is about 273.8115990457.

The spelling of 20528420 in words is "twenty million, five hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 4057 5060 8114 16228 20285 40570 44627 81140 89254 93311 178508 186622 223135 373244 446270 466555 892540 933110 1026421 1866220 2052842 4105684 5132105 10264210 20528420