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1528180096 = 27431012749
BaseRepresentation
bin101101100010110…
…0010110110000000
310221111112120222211
41123011202312000
511112203230341
6411350111504
752604213362
oct13305426600
93844476884
101528180096
11714688363
1236794b594
131b47aaaa1
14106d5ad32
158e264181
hex5b162d80

1528180096 has 64 divisors (see below), whose sum is σ = 3147210000. Its totient is φ = 738662400.

The previous prime is 1528180091. The next prime is 1528180097. The reversal of 1528180096 is 6900818251.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528180091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554530 + ... + 557278.

Almost surely, 21528180096 is an apocalyptic number.

1528180096 is a gapful number since it is divisible by the number (16) 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 1528180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573605000).

1528180096 is an abundant number, since it is smaller than the sum of its proper divisors (1619029904).

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

1528180096 is a wasteful number, since it uses less digits than its factorization.

1528180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The square root of 1528180096 is about 39091.9441317517. The cubic root of 1528180096 is about 1151.8382939176.

The spelling of 1528180096 in words is "one billion, five hundred twenty-eight million, one hundred eighty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 101 128 172 202 344 404 688 808 1376 1616 2749 2752 3232 4343 5498 5504 6464 8686 10996 12928 17372 21992 34744 43984 69488 87968 118207 138976 175936 236414 277649 277952 351872 472828 555298 555904 945656 1110596 1891312 2221192 3782624 4442384 7565248 8884768 11938907 15130496 17769536 23877814 35539072 47755628 95511256 191022512 382045024 764090048 1528180096