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869909040 = 24325711131771
BaseRepresentation
bin110011110110011…
…100001000110000
32020121212221212100
4303312130020300
53240144042130
6222153100400
730362050650
oct6366341060
92217787770
10869909040
1140704a5a0
122033b7700
1310b2bc1a0
1483766360
1551585c60
hex33d9c230

869909040 has 960 divisors, whose sum is σ = 4211730432. Its totient is φ = 154828800.

The previous prime is 869909017. The next prime is 869909077. The reversal of 869909040 is 40909968.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12252205 + ... + 12252275.

Almost surely, 2869909040 is an apocalyptic number.

869909040 is a gapful number since it is divisible by the number (80) 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 869909040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105865216).

869909040 is an abundant number, since it is smaller than the sum of its proper divisors (3341821392).

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

869909040 is a wasteful number, since it uses less digits than its factorization.

869909040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 869909040 is about 29494.2204507934. The cubic root of 869909040 is about 954.6070000144.

It can be divided in two parts, 869 and 909040, that added together give a palindrome (909909).

The spelling of 869909040 in words is "eight hundred sixty-nine million, nine hundred nine thousand, forty".