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69823040 = 265726173
BaseRepresentation
bin1000010100101…
…10101001000000
311212101101012112
410022112221000
5120333314130
610532314452
71505325500
oct412265100
9155341175
1069823040
11364600a1
121b472a28
1311609111
1493b7a00
1561e3495
hex4296a40

69823040 has 168 divisors, whose sum is σ = 199275192. Its totient is φ = 23224320.

The previous prime is 69823037. The next prime is 69823049. The reversal of 69823040 is 4032896.

69823040 = T427 + T428 + ... + T791.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 69622336 = 448^2 + 8344^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 69822988 and 69823006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69823049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956444 + ... + 956516.

Almost surely, 269823040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99637596).

69823040 is an abundant number, since it is smaller than the sum of its proper divisors (129452152).

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

69823040 is a wasteful number, since it uses less digits than its factorization.

69823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 69823040 is about 8356.0181905020. The cubic root of 69823040 is about 411.7809499474.

The spelling of 69823040 in words is "sixty-nine million, eight hundred twenty-three thousand, forty".