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2670550740 = 223251113172359
BaseRepresentation
bin1001111100101101…
…0101111011010100
320220010010000220200
42133023111323110
520432130110430
61120555100500
7123115210134
oct23713257324
96803100820
102670550740
111150502330
12626441730
13337375350
141b4968ac4
151096b9460
hex9f2d5ed4

2670550740 has 432 divisors, whose sum is σ = 10137778560. Its totient is φ = 560885760.

The previous prime is 2670550717. The next prime is 2670550777. The reversal of 2670550740 is 470550762.

2670550740 is a `hidden beast` number, since 2 + 67 + 0 + 550 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2670550695 and 2670550704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7438681 + ... + 7439039.

It is an arithmetic number, because the mean of its divisors is an integer number (23467080).

Almost surely, 22670550740 is an apocalyptic number.

2670550740 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 2670550740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068889280).

2670550740 is an abundant number, since it is smaller than the sum of its proper divisors (7467227820).

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

2670550740 is a wasteful number, since it uses less digits than its factorization.

2670550740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2670550740 is about 51677.3716436895. The cubic root of 2670550740 is about 1387.3954885975.

The spelling of 2670550740 in words is "two billion, six hundred seventy million, five hundred fifty thousand, seven hundred forty".