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2070774720 = 263457101113
BaseRepresentation
bin111101101101101…
…1000001111000000
312100022112020220000
41323123120033000
513220104242340
6541251520000
7102213203040
oct17333301700
95308466800
102070774720
11972997773
124995b9000
132700276b1
1415903d720
15c1be2d30
hex7b6d83c0

2070774720 has 560 divisors, whose sum is σ = 8576998848. Its totient is φ = 464486400.

The previous prime is 2070774691. The next prime is 2070774757. The reversal of 2070774720 is 274770702.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18325384 + ... + 18325496.

Almost surely, 22070774720 is an apocalyptic number.

2070774720 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 2070774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288499424).

2070774720 is an abundant number, since it is smaller than the sum of its proper divisors (6506224128).

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

2070774720 is a wasteful number, since it uses less digits than its factorization.

2070774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 2070774720 is about 45505.7657885240. The cubic root of 2070774720 is about 1274.6108708695.

The spelling of 2070774720 in words is "two billion, seventy million, seven hundred seventy-four thousand, seven hundred twenty".