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1230330528 = 253271735899
BaseRepresentation
bin100100101010101…
…0101101010100000
310011202002021012100
41021111111222200
510004431034103
6322030130400
742326431320
oct11125255240
93152067170
101230330528
11581542599
122a4050a00
13167b83a3b
14b9587280
157302c5a3
hex49555aa0

1230330528 has 144 divisors (see below), whose sum is σ = 4233902400. Its totient is φ = 330835968.

The previous prime is 1230330473. The next prime is 1230330547. The reversal of 1230330528 is 8250330321.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16323 + ... + 52221.

It is an arithmetic number, because the mean of its divisors is an integer number (29402100).

Almost surely, 21230330528 is an apocalyptic number.

1230330528 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 1230330528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116951200).

1230330528 is an abundant number, since it is smaller than the sum of its proper divisors (3003571872).

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

1230330528 is a wasteful number, since it uses less digits than its factorization.

1230330528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35939 (or 35928 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1230330528 is about 35076.0677385593. The cubic root of 1230330528 is about 1071.5372343582.

Adding to 1230330528 its reverse (8250330321), we get a palindrome (9480660849).

The spelling of 1230330528 in words is "one billion, two hundred thirty million, three hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 35899 71798 107697 143596 215394 251293 287192 323091 430788 502586 574384 610283 646182 753879 861576 1005172 1148768 1220566 1292364 1507758 1723152 1830849 2010344 2261637 2441132 2584728 3015516 3446304 3661698 4020688 4271981 4523274 4882264 5169456 5492547 6031032 7323396 8041376 8543962 9046548 9764528 10338912 10985094 12062064 12815943 14646792 17087924 18093096 19529056 21970188 24124128 25631886 29293584 34175848 36186192 38447829 43940376 51263772 58587168 68351696 72372384 76895658 87880752 102527544 136703392 153791316 175761504 205055088 307582632 410110176 615165264 1230330528