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1253276640 = 2532571189127
BaseRepresentation
bin100101010110011…
…0111101111100000
310020100021001100100
41022230313233200
510031314323030
6324210022400
743025450520
oct11254675740
93210231310
101253276640
11593495320
122ab877a00
1316c859115
14bc63b680
1575061360
hex4ab37be0

1253276640 has 576 divisors, whose sum is σ = 5434490880. Its totient is φ = 255467520.

The previous prime is 1253276621. The next prime is 1253276641. The reversal of 1253276640 is 466723521.

1253276640 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 2 + 7 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1253276595 and 1253276604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253276641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9868257 + ... + 9868383.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 21253276640 is an apocalyptic number.

1253276640 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 1253276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717245440).

1253276640 is an abundant number, since it is smaller than the sum of its proper divisors (4181214240).

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

1253276640 is a wasteful number, since it uses less digits than its factorization.

1253276640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1253276640 is about 35401.6474192939. The cubic root of 1253276640 is about 1078.1577647005.

The spelling of 1253276640 in words is "one billion, two hundred fifty-three million, two hundred seventy-six thousand, six hundred forty".