Search a number
-
+
69260400 = 24335211253
BaseRepresentation
bin1000010000011…
…01010001110000
311211022210102000
410020031101300
5120212313100
610512254000
71500463236
oct410152160
9154283360
1069260400
1136106400
121b241300
131146ccb1
1492ac956
156131900
hex420d470

69260400 has 360 divisors, whose sum is σ = 276076080. Its totient is φ = 16473600.

The previous prime is 69260371. The next prime is 69260413. The reversal of 69260400 is 406296.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1306774 + ... + 1306826.

It is an arithmetic number, because the mean of its divisors is an integer number (766878).

Almost surely, 269260400 is an apocalyptic number.

69260400 is a gapful number since it is divisible by the number (60) 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 69260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138038040).

69260400 is an abundant number, since it is smaller than the sum of its proper divisors (206815680).

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

69260400 is a wasteful number, since it uses less digits than its factorization.

69260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 69260400 is about 8322.2833405262. The cubic root of 69260400 is about 410.6719103639.

Adding to 69260400 its reverse (406296), we get a palindrome (69666696).

The spelling of 69260400 in words is "sixty-nine million, two hundred sixty thousand, four hundred".