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20971540 = 2251761681
BaseRepresentation
bin101000000000…
…0000000010100
31110110110112201
41100000000110
520332042130
62025254244
7343153342
oct120000024
943413481
1020971540
1110924257
127034384
1344636c5
142adc992
151c93bca
hex1400014

20971540 has 24 divisors (see below), whose sum is σ = 46631592. Its totient is φ = 7895040.

The previous prime is 20971537. The next prime is 20971567. The reversal of 20971540 is 4517902.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7043716 + 13927824 = 2654^2 + 3732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20971499 and 20971508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30501 + ... + 31180.

It is an arithmetic number, because the mean of its divisors is an integer number (1942983).

Almost surely, 220971540 is an apocalyptic number.

20971540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20971540 is an abundant number, since it is smaller than the sum of its proper divisors (25660052).

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

20971540 is a wasteful number, since it uses less digits than its factorization.

20971540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61707 (or 61705 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 20971540 is about 4579.4694015792. The cubic root of 20971540 is about 275.7677279882.

The spelling of 20971540 in words is "twenty million, nine hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 61681 123362 246724 308405 616810 1048577 1233620 2097154 4194308 5242885 10485770 20971540