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1026528012 = 223330832
BaseRepresentation
bin111101001011111…
…001001100001100
32122112121000201000
4331023321030030
54100242344022
6245510020300
734303226016
oct7513711414
92575530630
101026528012
114874a2764
12247947690
13134897a33
149a4951b6
15601c16ac
hex3d2f930c

1026528012 has 36 divisors (see below), whose sum is σ = 2662232440. Its totient is φ = 342065016.

The previous prime is 1026528001. The next prime is 1026528023. The reversal of 1026528012 is 2108256201.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1026528012 is a `hidden beast` number, since 1 + 0 + 2 + 652 + 8 + 0 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1026528001) and next prime (1026528023).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331423 + ... + 334505.

Almost surely, 21026528012 is an apocalyptic number.

1026528012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1026528012 is an abundant number, since it is smaller than the sum of its proper divisors (1635704428).

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

1026528012 is an frugal number, since it uses more digits than its factorization.

1026528012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1026528012 is about 32039.4758384091. The cubic root of 1026528012 is about 1008.7656102392.

Multiplying 1026528012 by its sum of digits (27), we get a square (27716256324 = 1664822).

1026528012 divided by its sum of digits (27) gives a square (38019556 = 61662).

The spelling of 1026528012 in words is "one billion, twenty-six million, five hundred twenty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 3083 6166 9249 12332 18498 27747 36996 55494 83241 110988 166482 332964 9504889 19009778 28514667 38019556 57029334 85544001 114058668 171088002 256632003 342176004 513264006 1026528012