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869480640 = 263257174359
BaseRepresentation
bin110011110100110…
…011100011000000
32020121002012012200
4303310303203000
53240041340030
6222135553200
730355314660
oct6364634300
92217065180
10869480640
11406887746
1220322b800
1310b19c1b2
14836941a0
15514edd60
hex33d338c0

869480640 has 672 divisors, whose sum is σ = 3765864960. Its totient is φ = 179601408.

The previous prime is 869480629. The next prime is 869480663. The reversal of 869480640 is 46084968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14736931 + ... + 14736989.

Almost surely, 2869480640 is an apocalyptic number.

869480640 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 869480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882932480).

869480640 is an abundant number, since it is smaller than the sum of its proper divisors (2896384320).

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

869480640 is a wasteful number, since it uses less digits than its factorization.

869480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 869480640 is about 29486.9571166643. The cubic root of 869480640 is about 954.4502706821.

The spelling of 869480640 in words is "eight hundred sixty-nine million, four hundred eighty thousand, six hundred forty".