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1074200625 = 3254192232
BaseRepresentation
bin100000000000111…
…0000000000110001
32202212022001020100
41000001300000301
54144443410000
6254331503013
735422361151
oct10001600061
92685261210
101074200625
115013a3913
1225b8b7a69
13141719994
14a2944761
156448ba00
hex40070031

1074200625 has 135 divisors (see below), whose sum is σ = 2139166029. Its totient is φ = 519156000.

The previous prime is 1074200597. The next prime is 1074200693. The reversal of 1074200625 is 5260024701.

The square root of 1074200625 is 32775.

It is a perfect power (a square), and thus also a powerful number.

1074200625 is a `hidden beast` number, since 10 + 7 + 4 + 20 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84217329 + 989983296 = 9177^2 + 31464^2 .

It is not a de Polignac number, because 1074200625 - 25 = 1074200593 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 46704364 + ... + 46704386.

Almost surely, 21074200625 is an apocalyptic number.

1074200625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1074200625 is the 32775-th square number.

1074200625 is the 16388-th centered octagonal number.

It is an amenable number.

1074200625 is a deficient number, since it is larger than the sum of its proper divisors (1064965404).

1074200625 is an equidigital number, since it uses as much as digits as its factorization.

1074200625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 1074200625 is about 1024.1458281416.

The spelling of 1074200625 in words is "one billion, seventy-four million, two hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 19 23 25 45 57 69 75 95 115 125 171 207 225 285 345 361 375 437 475 529 575 625 855 1035 1083 1125 1311 1425 1587 1725 1805 1875 2185 2375 2645 2875 3249 3933 4275 4761 5175 5415 5625 6555 7125 7935 8303 8625 9025 10051 10925 11875 13225 14375 16245 19665 21375 23805 24909 25875 27075 30153 32775 35625 39675 41515 43125 45125 50255 54625 66125 74727 81225 90459 98325 106875 119025 124545 129375 135375 150765 163875 190969 198375 207575 225625 251275 273125 330625 373635 406125 452295 491625 572907 595125 622725 676875 753825 819375 954845 991875 1037875 1256375 1718721 1868175 2030625 2261475 2458125 2864535 2975625 3113625 3769125 4774225 5189375 6281875 8593605 9340875 11307375 14322675 15568125 18845625 23871125 42968025 46704375 56536875 71613375 119355625 214840125 358066875 1074200625