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869250240 = 263251132671
BaseRepresentation
bin110011110011111…
…011010011000000
32020120122111011100
4303303323103000
53240012001430
6222131014400
730353335155
oct6363732300
92216574140
10869250240
1140673a631
1220313a400
1310b11b371
148363422c
15514a5960
hex33cfb4c0

869250240 has 168 divisors, whose sum is σ = 3017446848. Its totient is φ = 229662720.

The previous prime is 869250229. The next prime is 869250241. The reversal of 869250240 is 42052968.

It is a happy number.

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 = 869250195 and 869250204.

It is not an unprimeable number, because it can be changed into a prime (869250241) 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, 324105 + ... + 326775.

Almost surely, 2869250240 is an apocalyptic number.

869250240 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 869250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508723424).

869250240 is an abundant number, since it is smaller than the sum of its proper divisors (2148196608).

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

869250240 is a wasteful number, since it uses less digits than its factorization.

869250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 869250240 is about 29483.0500457466. The cubic root of 869250240 is about 954.3659579866.

The spelling of 869250240 in words is "eight hundred sixty-nine million, two hundred fifty thousand, two hundred forty".