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1025670528 = 27321814919
BaseRepresentation
bin111101001000100…
…111110110000000
32122110222110110100
4331020213312000
54100032424103
6245435402400
734263025041
oct7510476600
92573873410
101025670528
11486a674a3
122475b3400
1313465764c
149a3108c8
15600a25a3
hex3d227d80

1025670528 has 96 divisors (see below), whose sum is σ = 2968383600. Its totient is φ = 339932160.

The previous prime is 1025670517. The next prime is 1025670577. The reversal of 1025670528 is 8250765201.

It is a happy number.

1025670528 is a `hidden beast` number, since 10 + 2 + 56 + 70 + 528 = 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 = 1025670492 and 1025670501.

It is a congruent number.

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, 206053 + ... + 210971.

Almost surely, 21025670528 is an apocalyptic number.

1025670528 is a gapful number since it is divisible by the number (18) 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 1025670528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484191800).

1025670528 is an abundant number, since it is smaller than the sum of its proper divisors (1942713072).

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

1025670528 is a wasteful number, since it uses less digits than its factorization.

1025670528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1025670528 is about 32026.0913631370. The cubic root of 1025670528 is about 1008.4846497834.

The spelling of 1025670528 in words is "one billion, twenty-five million, six hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 288 362 384 543 576 724 1086 1152 1448 1629 2172 2896 3258 4344 4919 5792 6516 8688 9838 11584 13032 14757 17376 19676 23168 26064 29514 34752 39352 44271 52128 59028 69504 78704 88542 104256 118056 157408 177084 208512 236112 314816 354168 472224 629632 708336 890339 944448 1416672 1780678 1888896 2671017 2833344 3561356 5342034 5666688 7122712 8013051 10684068 14245424 16026102 21368136 28490848 32052204 42736272 56981696 64104408 85472544 113963392 128208816 170945088 256417632 341890176 512835264 1025670528