Search a number
-
+
689955840 = 21033572331
BaseRepresentation
bin101001000111111…
…110010000000000
31210002021101111000
4221013332100000
52403112041330
6152244052000
723045346030
oct5107762000
91702241430
10689955840
1132450a042
12173094000
13acc336c2
14678c18c0
154088b560
hex291fe400

689955840 has 704 divisors, whose sum is σ = 3018424320. Its totient is φ = 145981440.

The previous prime is 689955839. The next prime is 689955887. The reversal of 689955840 is 48559986.

It is a happy number.

689955840 is a `hidden beast` number, since 6 + 89 + 9 + 558 + 4 + 0 = 666.

It is a super-2 number, since 2×6899558402 = 952078122300211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22256625 + ... + 22256655.

Almost surely, 2689955840 is an apocalyptic number.

689955840 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 689955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509212160).

689955840 is an abundant number, since it is smaller than the sum of its proper divisors (2328468480).

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

689955840 is a wasteful number, since it uses less digits than its factorization.

689955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 689955840 is about 26267.0104884435. The cubic root of 689955840 is about 883.6367405189.

The spelling of 689955840 in words is "six hundred eighty-nine million, nine hundred fifty-five thousand, eight hundred forty".