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1252245540 = 22357131912071
BaseRepresentation
bin100101010100011…
…1100000000100100
310020021022122221110
41022220330000210
510031033324130
6324131545020
743013624430
oct11250740044
93207278843
101252245540
11592950677
122ab45b170
1316c5879c0
14bc44d9c0
1574e0aab0
hex4aa3c024

1252245540 has 192 divisors, whose sum is σ = 4542935040. Its totient is φ = 250283520.

The previous prime is 1252245539. The next prime is 1252245583. The reversal of 1252245540 is 455422521.

1252245540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1252245498 and 1252245507.

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 63 ways as a sum of consecutive naturals, for example, 97705 + ... + 109775.

It is an arithmetic number, because the mean of its divisors is an integer number (23661120).

Almost surely, 21252245540 is an apocalyptic number.

1252245540 is a gapful number since it is divisible by the number (10) 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 1252245540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271467520).

1252245540 is an abundant number, since it is smaller than the sum of its proper divisors (3290689500).

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

1252245540 is a wasteful number, since it uses less digits than its factorization.

1252245540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12122 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 1252245540 is about 35387.0815411500. The cubic root of 1252245540 is about 1077.8620083751.

The spelling of 1252245540 in words is "one billion, two hundred fifty-two million, two hundred forty-five thousand, five hundred forty".