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2075105408 = 27177331301
BaseRepresentation
bin111101110101111…
…1001100010000000
312100121200021110212
41323223321202000
513222211333113
6541524413252
7102265050665
oct17353714200
95317607425
102075105408
11975385452
1249ab47228
13270bb292c
14159849a6c
15c229b0a8
hex7baf9880

2075105408 has 64 divisors (see below), whose sum is σ = 4386516120. Its totient is φ = 974438400.

The previous prime is 2075105377. The next prime is 2075105419. The reversal of 2075105408 is 8045015702.

It can be written as a sum of positive squares in 4 ways, for example, as 1894686784 + 180418624 = 43528^2 + 13432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1594358 + ... + 1595658.

Almost surely, 22075105408 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 2075105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193258060).

2075105408 is an abundant number, since it is smaller than the sum of its proper divisors (2311410712).

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

2075105408 is a wasteful number, since it uses less digits than its factorization.

2075105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 2075105408 is about 45553.3248841399. The cubic root of 2075105408 is about 1275.4987991723.

The spelling of 2075105408 in words is "two billion, seventy-five million, one hundred five thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 733 1088 1301 1466 2176 2602 2932 5204 5864 10408 11728 12461 20816 22117 23456 24922 41632 44234 46912 49844 83264 88468 93824 99688 166528 176936 199376 353872 398752 707744 797504 953633 1415488 1595008 1907266 2830976 3814532 7629064 15258128 16211761 30516256 32423522 61032512 64847044 122065024 129694088 259388176 518776352 1037552704 2075105408