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20055240 = 233251729113
BaseRepresentation
bin100110010000…
…0010011001000
31101201220121200
41030200103020
520113231430
61553504200
7332316042
oct114402310
941656550
1020055240
1110358887
126872060
13420260a
142940a92
151b62460
hex13204c8

20055240 has 192 divisors, whose sum is σ = 72025200. Its totient is φ = 4816896.

The previous prime is 20055239. The next prime is 20055247. The reversal of 20055240 is 4255002.

It can be written as a sum of positive squares in 8 ways, for example, as 5447556 + 14607684 = 2334^2 + 3822^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20055247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177424 + ... + 177536.

Almost surely, 220055240 is an apocalyptic number.

20055240 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 20055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36012600).

20055240 is an abundant number, since it is smaller than the sum of its proper divisors (51969960).

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

20055240 is a wasteful number, since it uses less digits than its factorization.

20055240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 20055240 is about 4478.3077160910. The cubic root of 20055240 is about 271.6914393124.

The spelling of 20055240 in words is "twenty million, fifty-five thousand, two hundred forty".