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2714882040 = 23325133118713
BaseRepresentation
bin1010000111010001…
…1100111111111000
321000012112022000200
42201310130333320
521030002211130
61125221202200
7124164054663
oct24164347770
97005468020
102714882040
111173531072
12639260360
133435c74a0
141ba7c86da
1510d524760
hexa1d1cff8

2714882040 has 192 divisors, whose sum is σ = 9809130240. Its totient is φ = 646686720.

The previous prime is 2714882039. The next prime is 2714882041. The reversal of 2714882040 is 402884172.

It is an interprime number because it is at equal distance from previous prime (2714882039) and next prime (2714882041).

It is a super-2 number, since 2×27148820402 = 14741168982229123200, which contains 22 as substring.

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 = 2714881986 and 2714882004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2714882041) 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, 135724 + ... + 154436.

It is an arithmetic number, because the mean of its divisors is an integer number (51089220).

Almost surely, 22714882040 is an apocalyptic number.

2714882040 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 2714882040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904565120).

2714882040 is an abundant number, since it is smaller than the sum of its proper divisors (7094248200).

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

2714882040 is a wasteful number, since it uses less digits than its factorization.

2714882040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18774 (or 18767 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2714882040 is about 52104.5299374248. The cubic root of 2714882040 is about 1395.0303458154.

The spelling of 2714882040 in words is "two billion, seven hundred fourteen million, eight hundred eighty-two thousand, forty".