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2860297440 = 2535711135953
BaseRepresentation
bin1010101001111100…
…1010110011100000
321101100011011110020
42222133022303200
521324214004230
61151454033440
7130611061410
oct25237126340
97340134406
102860297440
111238621890
12679aa8880
1336777c6c0
141d1c3c640
1511b19a810
hexaa7cace0

2860297440 has 384 divisors, whose sum is σ = 12099290112. Its totient is φ = 548536320.

The previous prime is 2860297421. The next prime is 2860297483. The reversal of 2860297440 is 447920682.

2860297440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2860297392 and 2860297401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 477504 + ... + 483456.

It is an arithmetic number, because the mean of its divisors is an integer number (31508568).

Almost surely, 22860297440 is an apocalyptic number.

2860297440 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 2860297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049645056).

2860297440 is an abundant number, since it is smaller than the sum of its proper divisors (9238992672).

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

2860297440 is a wasteful number, since it uses less digits than its factorization.

2860297440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2860297440 is about 53481.7486625110. The cubic root of 2860297440 is about 1419.5054549746.

The spelling of 2860297440 in words is "two billion, eight hundred sixty million, two hundred ninety-seven thousand, four hundred forty".