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2700770040 = 2338541251
BaseRepresentation
bin1010000011111010…
…0111101011111000
320222012222100000000
42200332213223320
521012344120130
61123554513000
7123633111063
oct24076475370
96865870000
102700770040
111166572561
12634595760
133406c60a7
141b89938da
1510c188260
hexa0fa7af8

2700770040 has 288 divisors, whose sum is σ = 9374142960. Its totient is φ = 699840000.

The previous prime is 2700770021. The next prime is 2700770069. The reversal of 2700770040 is 400770072.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2700769986 and 2700770013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10759915 + ... + 10760165.

Almost surely, 22700770040 is an apocalyptic number.

2700770040 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 2700770040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687071480).

2700770040 is an abundant number, since it is smaller than the sum of its proper divisors (6673372920).

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

2700770040 is an equidigital number, since it uses as much as digits as its factorization.

2700770040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 2700770040 is about 51968.9334121839. The cubic root of 2700770040 is about 1392.6090156146.

The spelling of 2700770040 in words is "two billion, seven hundred million, seven hundred seventy thousand, forty".