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1353126330 = 23355011579
BaseRepresentation
bin101000010100111…
…0001000110111010
310111022010221101000
41100221301012322
510232400020310
6342134105430
745350245503
oct12051610672
93438127330
101353126330
11634893926
123191ab276
1318744938a
14cb9cdbaa
157dbd64c0
hex50a711ba

1353126330 has 32 divisors (see below), whose sum is σ = 3608337600. Its totient is φ = 360833616.

The previous prime is 1353126329. The next prime is 1353126337. The reversal of 1353126330 is 336213531.

It is a happy number.

1353126330 is a `hidden beast` number, since 13 + 5 + 3 + 12 + 633 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1353126294 and 1353126303.

It is not an unprimeable number, because it can be changed into a prime (1353126337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2505520 + ... + 2506059.

It is an arithmetic number, because the mean of its divisors is an integer number (112760550).

Almost surely, 21353126330 is an apocalyptic number.

1353126330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1353126330 is an abundant number, since it is smaller than the sum of its proper divisors (2255211270).

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

1353126330 is a wasteful number, since it uses less digits than its factorization.

1353126330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011595 (or 5011589 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 1353126330 is about 36784.8655019969. The cubic root of 1353126330 is about 1106.0619398792.

Adding to 1353126330 its reverse (336213531), we get a palindrome (1689339861).

The spelling of 1353126330 in words is "one billion, three hundred fifty-three million, one hundred twenty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 5011579 10023158 15034737 25057895 30069474 45104211 50115790 75173685 90208422 135312633 150347370 225521055 270625266 451042110 676563165 1353126330