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2071052928 = 27337591451
BaseRepresentation
bin111101101110001…
…1100001010000000
312100100001101112000
41323130130022000
513220142143203
6541301504000
7102215442120
oct17334341200
95310041460
102071052928
1197306779a
12499712000
132700c4209
141590b2c80
15c1c4a4a3
hex7b71c280

2071052928 has 256 divisors, whose sum is σ = 7108992000. Its totient is φ = 581299200.

The previous prime is 2071052807. The next prime is 2071052941. The reversal of 2071052928 is 8292501702.

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 = 2071052892 and 2071052901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426603 + ... + 1428053.

It is an arithmetic number, because the mean of its divisors is an integer number (27769500).

Almost surely, 22071052928 is an apocalyptic number.

2071052928 is a gapful number since it is divisible by the number (28) 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 2071052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554496000).

2071052928 is an abundant number, since it is smaller than the sum of its proper divisors (5037939072).

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

2071052928 is a wasteful number, since it uses less digits than its factorization.

2071052928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2071052928 is about 45508.8225292635. The cubic root of 2071052928 is about 1274.6679495172.

The spelling of 2071052928 in words is "two billion, seventy-one million, fifty-two thousand, nine hundred twenty-eight".