Search a number
-
+
1065525252 = 22311173371409
BaseRepresentation
bin111111100000101…
…010000000000100
32202020222021212020
4333200222000010
54140233302002
6253421523140
735255546421
oct7740520004
92666867766
101065525252
114a7508990
12258a134b0
1313c9a001c
14a1726d48
15638262bc
hex3f82a004

1065525252 has 96 divisors (see below), whose sum is σ = 2882355840. Its totient is φ = 302776320.

The previous prime is 1065525239. The next prime is 1065525271. The reversal of 1065525252 is 2525255601.

It is a super-2 number, since 2×10655252522 = 2270688125299327008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755524 + ... + 756932.

It is an arithmetic number, because the mean of its divisors is an integer number (30024540).

Almost surely, 21065525252 is an apocalyptic number.

1065525252 is a gapful number since it is divisible by the number (12) 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 1065525252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441177920).

1065525252 is an abundant number, since it is smaller than the sum of its proper divisors (1816830588).

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

1065525252 is a wasteful number, since it uses less digits than its factorization.

1065525252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 1065525252 is about 32642.3842879162. The cubic root of 1065525252 is about 1021.3813311076.

The spelling of 1065525252 in words is "one billion, sixty-five million, five hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 337 374 561 674 748 1011 1122 1348 1409 2022 2244 2818 3707 4044 4227 5636 5729 7414 8454 11121 11458 14828 15499 16908 17187 22242 22916 23953 30998 34374 44484 46497 47906 61996 63019 68748 71859 92994 95812 126038 143718 185988 189057 252076 263483 287436 378114 474833 526966 756228 790449 949666 1053932 1424499 1580898 1899332 2848998 3161796 5223163 5697996 8072161 10446326 15669489 16144322 20892652 24216483 31338978 32288644 48432966 62677956 88793771 96865932 177587542 266381313 355175084 532762626 1065525252