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660672000 = 2932533137
BaseRepresentation
bin100111011000010…
…000111000000000
31201001011121121100
4213120100320000
52323113001000
6145320254400
722241422302
oct4730207000
91631147540
10660672000
11309a2871a
12165311400
13a6b4c6a1
1463a5b972
153d004a00
hex27610e00

660672000 has 480 divisors, whose sum is σ = 2522767104. Its totient is φ = 165888000.

The previous prime is 660671993. The next prime is 660672013. The reversal of 660672000 is 276066.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 17855982 + ... + 17856018.

Almost surely, 2660672000 is an apocalyptic number.

660672000 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 660672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261383552).

660672000 is an abundant number, since it is smaller than the sum of its proper divisors (1862095104).

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

660672000 is a wasteful number, since it uses less digits than its factorization.

660672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 660672000 is about 25703.5406121414. The cubic root of 660672000 is about 870.9541651939.

It can be divided in two parts, 6606 and 72000, that added together give a triangular number (78606 = T396).

The spelling of 660672000 in words is "six hundred sixty million, six hundred seventy-two thousand".