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20355540 = 22351013359
BaseRepresentation
bin100110110100…
…1100111010100
31102022011112220
41031221213110
520202334130
62004142340
7335006412
oct115514724
942264486
1020355540
1110543467
1269979b0
1342a91ca
1429bc2b2
151bc1410
hex13699d4

20355540 has 48 divisors (see below), whose sum is σ = 57576960. Its totient is φ = 5372800.

The previous prime is 20355523. The next prime is 20355541. The reversal of 20355540 is 4555302.

It is a self number, because there is not a number n which added to its sum of digits gives 20355540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20355541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4381 + ... + 7739.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 220355540 is an apocalyptic number.

20355540 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 20355540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788480).

20355540 is an abundant number, since it is smaller than the sum of its proper divisors (37221420).

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

20355540 is a wasteful number, since it uses less digits than its factorization.

20355540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 20355540 is about 4511.7114269421. The cubic root of 20355540 is about 273.0407968120.

The spelling of 20355540 in words is "twenty million, three hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 3359 6060 6718 10077 13436 16795 20154 33590 40308 50385 67180 100770 201540 339259 678518 1017777 1357036 1696295 2035554 3392590 4071108 5088885 6785180 10177770 20355540