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2131590528 = 27326727617
BaseRepresentation
bin111111100001101…
…0111110110000000
312111112222000111100
41333003113312000
513331141344103
6551303214400
7103552135434
oct17703276600
95445860440
102131590528
119a4255571
124b5a47400
1327c7cba92
141631509c4
15c72075a3
hex7f0d7d80

2131590528 has 96 divisors (see below), whose sum is σ = 6225649560. Its totient is φ = 699899904.

The previous prime is 2131590523. The next prime is 2131590551. The reversal of 2131590528 is 8250951312.

2131590528 is a `hidden beast` number, since 2 + 13 + 1 + 590 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2131590492 and 2131590501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131590523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63376 + ... + 90992.

Almost surely, 22131590528 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 2131590528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112824780).

2131590528 is an abundant number, since it is smaller than the sum of its proper divisors (4094059032).

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

2131590528 is a wasteful number, since it uses less digits than its factorization.

2131590528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27704 (or 27689 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2131590528 is about 46169.1512592554. The cubic root of 2131590528 is about 1286.9685297934.

The spelling of 2131590528 in words is "two billion, one hundred thirty-one million, five hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 384 402 536 576 603 804 1072 1152 1206 1608 2144 2412 3216 4288 4824 6432 8576 9648 12864 19296 25728 27617 38592 55234 77184 82851 110468 165702 220936 248553 331404 441872 497106 662808 883744 994212 1325616 1767488 1850339 1988424 2651232 3534976 3700678 3976848 5302464 5551017 7401356 7953696 10604928 11102034 14802712 15907392 16653051 22204068 29605424 31814784 33306102 44408136 59210848 66612204 88816272 118421696 133224408 177632544 236843392 266448816 355265088 532897632 710530176 1065795264 2131590528