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669970080 = 253251322753
BaseRepresentation
bin100111111011101…
…110111010100000
31201200200000011200
4213323232322200
52333003020310
6150251441200
722413436353
oct4773567240
91650600150
10669970080
113141a948a
12168456200
13a8a56900
1464d9c29a
153dc3e9c0
hex27eeeea0

669970080 has 216 divisors, whose sum is σ = 2476567548. Its totient is φ = 164855808.

The previous prime is 669970061. The next prime is 669970087. The reversal of 669970080 is 80079966.

It can be written as a sum of positive squares in 6 ways, for example, as 202891536 + 467078544 = 14244^2 + 21612^2 .

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

It is not an unprimeable number, because it can be changed into a prime (669970087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 241984 + ... + 244736.

Almost surely, 2669970080 is an apocalyptic number.

669970080 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 669970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238283774).

669970080 is an abundant number, since it is smaller than the sum of its proper divisors (1806597468).

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

669970080 is a wasteful number, since it uses less digits than its factorization.

669970080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 669970080 is about 25883.7802494149. The cubic root of 669970080 is about 875.0209867075.

The spelling of 669970080 in words is "six hundred sixty-nine million, nine hundred seventy thousand, eighty".