Search a number
-
+
689070000 = 24354103223
BaseRepresentation
bin101001000100100…
…101111110110000
31210000121101100010
4221010211332300
52402400220000
6152213054520
723034666303
oct5104457660
91700541303
10689070000
11323a64543
12172927440
13ac9b3438
1467730b3a
1540763d50
hex29125fb0

689070000 has 200 divisors, whose sum is σ = 2256077824. Its totient is φ = 181152000.

The previous prime is 689069999. The next prime is 689070007. The reversal of 689070000 is 70986.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 689070000.

It is not an unprimeable number, because it can be changed into a prime (689070007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3089889 + ... + 3090111.

Almost surely, 2689070000 is an apocalyptic number.

689070000 is a gapful number since it is divisible by the number (60) 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 689070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128038912).

689070000 is an abundant number, since it is smaller than the sum of its proper divisors (1567007824).

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

689070000 is a wasteful number, since it uses less digits than its factorization.

689070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 689070000 is about 26250.1428567541. The cubic root of 689070000 is about 883.2584090559.

The spelling of 689070000 in words is "six hundred eighty-nine million, seventy thousand".