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1354125696 = 273711411117
BaseRepresentation
bin101000010110110…
…0101000110000000
310111101000201020120
41100231211012000
510233124010241
6342211340240
745361610220
oct12055450600
93441021216
101354125696
11635406750
123195b1680
13187709211
14cbbb0080
157dd32666
hex50b65180

1354125696 has 256 divisors, whose sum is σ = 4597931520. Its totient is φ = 342835200.

The previous prime is 1354125659. The next prime is 1354125709. The reversal of 1354125696 is 6965214531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1211730 + ... + 1212846.

It is an arithmetic number, because the mean of its divisors is an integer number (17960670).

Almost surely, 21354125696 is an apocalyptic number.

1354125696 is a gapful number since it is divisible by the number (16) 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 1354125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298965760).

1354125696 is an abundant number, since it is smaller than the sum of its proper divisors (3243805824).

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

1354125696 is a wasteful number, since it uses less digits than its factorization.

1354125696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1181 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 1354125696 is about 36798.4469237494. The cubic root of 1354125696 is about 1106.3341708499.

The spelling of 1354125696 in words is "one billion, three hundred fifty-four million, one hundred twenty-five thousand, six hundred ninety-six".