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32540420 = 22511211701
BaseRepresentation
bin111110000100…
…0011100000100
32021020020001202
41330020130010
531312243140
63121242032
7543406013
oct174103404
967206052
1032540420
1117406110
12aa93318
1369843b3
144470a7a
152ccb915
hex1f08704

32540420 has 48 divisors (see below), whose sum is σ = 75007296. Its totient is φ = 11760000.

The previous prime is 32540413. The next prime is 32540461. The reversal of 32540420 is 2404523.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32540392 and 32540401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46070 + ... + 46770.

It is an arithmetic number, because the mean of its divisors is an integer number (1562652).

Almost surely, 232540420 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 32540420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37503648).

32540420 is an abundant number, since it is smaller than the sum of its proper divisors (42466876).

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

32540420 is a wasteful number, since it uses less digits than its factorization.

32540420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 32540420 is about 5704.4210924510. The cubic root of 32540420 is about 319.2574579933.

Adding to 32540420 its reverse (2404523), we get a palindrome (34944943).

The spelling of 32540420 in words is "thirty-two million, five hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 701 844 1055 1402 2110 2321 2804 3505 4220 4642 7010 7711 9284 11605 14020 15422 23210 30844 38555 46420 77110 147911 154220 295822 591644 739555 1479110 1627021 2958220 3254042 6508084 8135105 16270210 32540420