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56209140 = 223451317157
BaseRepresentation
bin1101011001101…
…0111011110100
310220202201110000
43112122323310
5103342143030
65324431300
71251525021
oct326327364
9126681400
1056209140
1129801839
12169a8530
13b850660
147672548
154e04860
hex359aef4

56209140 has 240 divisors, whose sum is σ = 202344912. Its totient is φ = 12939264.

The previous prime is 56209129. The next prime is 56209147. The reversal of 56209140 is 4190265.

It can be written as a sum of positive squares in 8 ways, for example, as 2802276 + 53406864 = 1674^2 + 7308^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56209147) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 357942 + ... + 358098.

Almost surely, 256209140 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 56209140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101172456).

56209140 is an abundant number, since it is smaller than the sum of its proper divisors (146135772).

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

56209140 is a wasteful number, since it uses less digits than its factorization.

56209140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56209140 is about 7497.2755051419. The cubic root of 56209140 is about 383.0619191953.

56209140 divided by its sum of digits (27) gives a triangular number (2081820 = T2040).

The spelling of 56209140 in words is "fifty-six million, two hundred nine thousand, one hundred forty".