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252810540 = 223251404503
BaseRepresentation
bin11110001000110…
…01010100101100
3122121201002212100
433010121110230
51004204414130
641030335100
76156565653
oct1704312454
9577632770
10252810540
1111a783334
12707ba490
13404b7a48
142580c19a
15172dbc60
hexf11952c

252810540 has 36 divisors (see below), whose sum is σ = 766859184. Its totient is φ = 67416096.

The previous prime is 252810539. The next prime is 252810541. The reversal of 252810540 is 45018252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252810539) and next prime (252810541).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (252810541) 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 11 ways as a sum of consecutive naturals, for example, 702072 + ... + 702431.

It is an arithmetic number, because the mean of its divisors is an integer number (21301644).

Almost surely, 2252810540 is an apocalyptic number.

252810540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252810540 is an abundant number, since it is smaller than the sum of its proper divisors (514048644).

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

252810540 is a wasteful number, since it uses less digits than its factorization.

252810540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404518 (or 1404513 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 252810540 is about 15900.0169811230. The cubic root of 252810540 is about 632.3124389834.

Adding to 252810540 its reverse (45018252), we get a palindrome (297828792).

The spelling of 252810540 in words is "two hundred fifty-two million, eight hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1404503 2809006 4213509 5618012 7022515 8427018 12640527 14045030 16854036 21067545 25281054 28090060 42135090 50562108 63202635 84270180 126405270 252810540