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1252020168 = 233272354881
BaseRepresentation
bin100101010100000…
…0100111111001000
310020020220012210100
41022220010333020
510031004121133
6324123045400
743011665400
oct11250047710
93206805710
101252020168
11592807313
122ab370860
1316c509249
14bc3d1800
1574db3e13
hex4aa04fc8

1252020168 has 72 divisors (see below), whose sum is σ = 3944513430. Its totient is φ = 357719040.

The previous prime is 1252020167. The next prime is 1252020251. The reversal of 1252020168 is 8610202521.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1189008324 + 63011844 = 34482^2 + 7938^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1252020167) 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 17 ways as a sum of consecutive naturals, for example, 173913 + ... + 180968.

Almost surely, 21252020168 is an apocalyptic number.

1252020168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1252020168 is an abundant number, since it is smaller than the sum of its proper divisors (2692493262).

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

1252020168 is a wasteful number, since it uses less digits than its factorization.

1252020168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354907 (or 354893 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1252020168 is about 35383.8970154504. The cubic root of 1252020168 is about 1077.7973420129.

Adding to 1252020168 its reverse (8610202521), we get a palindrome (9862222689).

The spelling of 1252020168 in words is "one billion, two hundred fifty-two million, twenty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 354881 709762 1064643 1419524 2129286 2484167 2839048 3193929 4258572 4968334 6387858 7452501 8517144 9936668 12775716 14905002 17389169 19873336 22357503 25551432 29810004 34778338 44715006 52167507 59620008 69556676 89430012 104335014 139113352 156502521 178860024 208670028 313005042 417340056 626010084 1252020168