Search a number
-
+
670914720 = 253257101659
BaseRepresentation
bin100111111111010…
…101100010100000
31201202102222222100
4213333111202200
52333223232340
6150324010400
722424452410
oct4777254240
91652388870
10670914720
11314794183
12168830a00
13a8cc7878
1465166640
153dd79830
hex27fd58a0

670914720 has 288 divisors, whose sum is σ = 2646483840. Its totient is φ = 151603200.

The previous prime is 670914701. The next prime is 670914731. The reversal of 670914720 is 27419076.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1017751 + ... + 1018409.

It is an arithmetic number, because the mean of its divisors is an integer number (9189180).

Almost surely, 2670914720 is an apocalyptic number.

670914720 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 670914720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323241920).

670914720 is an abundant number, since it is smaller than the sum of its proper divisors (1975569120).

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

670914720 is a wasteful number, since it uses less digits than its factorization.

670914720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 670914720 is about 25902.0215427291. The cubic root of 670914720 is about 875.4320456828.

The spelling of 670914720 in words is "six hundred seventy million, nine hundred fourteen thousand, seven hundred twenty".