Search a number
-
+
1521000030 = 23511171371979
BaseRepresentation
bin101101010101000…
…1001111001011110
310221000000210210110
41122222021321132
511103334000110
6410532150450
752456200264
oct13252117136
93830023713
101521000030
11710623920
12365468426
131b3165924
1410600c434
158d7e6a20
hex5aa89e5e

1521000030 has 128 divisors (see below), whose sum is σ = 4249428480. Its totient is φ = 344330240.

The previous prime is 1521000029. The next prime is 1521000067. The reversal of 1521000030 is 300001251.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 767581 + ... + 769559.

It is an arithmetic number, because the mean of its divisors is an integer number (33198660).

Almost surely, 21521000030 is an apocalyptic number.

1521000030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1521000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124714240).

1521000030 is an abundant number, since it is smaller than the sum of its proper divisors (2728428450).

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

1521000030 is a wasteful number, since it uses less digits than its factorization.

1521000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1521000030 is about 39000.0003846154. Note that the first 3 decimals coincide. The cubic root of 1521000030 is about 1150.0315126840.

Subtracting from 1521000030 its product of nonzero digits (30), we obtain a square (1521000000 = 390002).

Adding to 1521000030 its reverse (300001251), we get a palindrome (1821001281).

The spelling of 1521000030 in words is "one billion, five hundred twenty-one million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 137 165 170 187 255 274 330 374 411 510 561 685 822 935 1122 1370 1507 1870 1979 2055 2329 2805 3014 3958 4110 4521 4658 5610 5937 6987 7535 9042 9895 11645 11874 13974 15070 19790 21769 22605 23290 25619 29685 33643 34935 43538 45210 51238 59370 65307 67286 69870 76857 100929 108845 128095 130614 153714 168215 201858 217690 256190 271123 326535 336430 370073 384285 504645 542246 653070 740146 768570 813369 1009290 1110219 1355615 1626738 1850365 2220438 2711230 2982353 3700730 4066845 4609091 5551095 5964706 8133690 8947059 9218182 11102190 13827273 14911765 17894118 23045455 27654546 29823530 44735295 46090910 50700001 69136365 89470590 101400002 138272730 152100003 253500005 304200006 507000010 760500015 1521000030