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1357000000 = 26562359
BaseRepresentation
bin101000011100010…
…0010110101000000
310111120102202001021
41100320202311000
510234343000000
6342353115224
745425211136
oct12070426500
93446382037
101357000000
11636a9a204
1231a558b14
131881a45a5
14cc31b756
157e1ee11a
hex50e22d40

1357000000 has 196 divisors, whose sum is σ = 3571829280. Its totient is φ = 510400000.

The previous prime is 1356999997. The next prime is 1357000003. The reversal of 1357000000 is 7531.

It is an interprime number because it is at equal distance from previous prime (1356999997) and next prime (1357000003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357000003) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 22999971 + ... + 23000029.

Almost surely, 21357000000 is an apocalyptic number.

1357000000 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 1357000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785914640).

1357000000 is an abundant number, since it is smaller than the sum of its proper divisors (2214829280).

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

1357000000 is an frugal number, since it uses more digits than its factorization.

1357000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 1357000000 is about 36837.4809127877. The cubic root of 1357000000 is about 1107.1163959782.

Adding to 1357000000 its reverse (7531), we get a palindrome (1357007531).

The spelling of 1357000000 in words is "one billion, three hundred fifty-seven million", and thus it is an aban number.