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670182240 = 253571367229
BaseRepresentation
bin100111111100100…
…010101101100000
31201201001210012110
4213330202231200
52333031312430
6150300155320
722415312040
oct4774425540
91651053173
10670182240
11314333922
12168538b40
13a8acc350
1465015720
153dc827b0
hex27f22b60

670182240 has 384 divisors, whose sum is σ = 2648540160. Its totient is φ = 138682368.

The previous prime is 670182223. The next prime is 670182283. The reversal of 670182240 is 42281076.

670182240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6701822402 = 898288469622835200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 670182198 and 670182207.

It is a congruent number.

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, 2926446 + ... + 2926674.

It is an arithmetic number, because the mean of its divisors is an integer number (6897240).

Almost surely, 2670182240 is an apocalyptic number.

670182240 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 670182240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324270080).

670182240 is an abundant number, since it is smaller than the sum of its proper divisors (1978357920).

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

670182240 is a wasteful number, since it uses less digits than its factorization.

670182240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 670182240 is about 25887.8782444603. The cubic root of 670182240 is about 875.1133415084.

The spelling of 670182240 in words is "six hundred seventy million, one hundred eighty-two thousand, two hundred forty".