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169390440 = 2336537157
BaseRepresentation
bin10100001100010…
…11000101101000
3102210201221000000
422012023011220
5321330443230
624450343000
74124536452
oct1206130550
9383657000
10169390440
11876865aa
124888aa60
132912aa3b
14186d52d2
15ed0eb60
hexa18b168

169390440 has 224 divisors, whose sum is σ = 590613480. Its totient is φ = 43670016.

The previous prime is 169390409. The next prime is 169390489. The reversal of 169390440 is 44093961.

It can be written as a sum of positive squares in 4 ways, for example, as 150258564 + 19131876 = 12258^2 + 4374^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 169390395 and 169390404.

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 55 ways as a sum of consecutive naturals, for example, 1078842 + ... + 1078998.

Almost surely, 2169390440 is an apocalyptic number.

169390440 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 169390440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295306740).

169390440 is an abundant number, since it is smaller than the sum of its proper divisors (421223040).

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

169390440 is a wasteful number, since it uses less digits than its factorization.

169390440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 169390440 is about 13015.0082596977. The cubic root of 169390440 is about 553.3029240881.

The spelling of 169390440 in words is "one hundred sixty-nine million, three hundred ninety thousand, four hundred forty".