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2070866592 = 253228125589
BaseRepresentation
bin111101101101110…
…1110101010100000
312100022200220220200
41323123232222200
513220120212332
6541253505200
7102214034634
oct17333565240
95308626820
102070866592
11972a4a7a3
12499642200
1327005a462
14159064dc4
15c1c1017c
hex7b6eeaa0

2070866592 has 72 divisors (see below), whose sum is σ = 5910215220. Its totient is φ = 687805440.

The previous prime is 2070866537. The next prime is 2070866599. The reversal of 2070866592 is 2956680702.

It can be written as a sum of positive squares in 2 ways, for example, as 1858989456 + 211877136 = 43116^2 + 14556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×20708665923 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2070866599) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68134 + ... + 93722.

Almost surely, 22070866592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070866592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955107610).

2070866592 is an abundant number, since it is smaller than the sum of its proper divisors (3839348628).

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

2070866592 is a wasteful number, since it uses less digits than its factorization.

2070866592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25886 (or 25875 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2070866592 is about 45506.7752318267. The cubic root of 2070866592 is about 1274.6297203879.

The spelling of 2070866592 in words is "two billion, seventy million, eight hundred sixty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 281 288 562 843 1124 1686 2248 2529 3372 4496 5058 6744 8992 10116 13488 20232 25589 26976 40464 51178 76767 80928 102356 153534 204712 230301 307068 409424 460602 614136 818848 921204 1228272 1842408 2456544 3684816 7190509 7369632 14381018 21571527 28762036 43143054 57524072 64714581 86286108 115048144 129429162 172572216 230096288 258858324 345144432 517716648 690288864 1035433296 2070866592