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2725139040 = 253513716151
BaseRepresentation
bin1010001001101110…
…0101001001100000
321000220211101222120
42202123211021200
521040113422130
61130225104240
7124350204531
oct24233451140
97026741876
102725139040
1111792a7328
12640788080
13345779010
141bbcd8688
1510e39d910
hexa26e5260

2725139040 has 192 divisors, whose sum is σ = 9376238592. Its totient is φ = 661248000.

The previous prime is 2725139033. The next prime is 2725139057. The reversal of 2725139040 is 409315272.

It is a junction number, because it is equal to n+sod(n) for n = 2725138992 and 2725139010.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 439965 + ... + 446115.

It is an arithmetic number, because the mean of its divisors is an integer number (48834576).

Almost surely, 22725139040 is an apocalyptic number.

2725139040 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 2725139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688119296).

2725139040 is an abundant number, since it is smaller than the sum of its proper divisors (6651099552).

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

2725139040 is a wasteful number, since it uses less digits than its factorization.

2725139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2725139040 is about 52202.8642892323. The cubic root of 2725139040 is about 1396.7849762663.

The spelling of 2725139040 in words is "two billion, seven hundred twenty-five million, one hundred thirty-nine thousand, forty".