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670632480 = 25335767331
BaseRepresentation
bin100111111110010…
…000101000100000
31201201220122211000
4213332100220200
52333140214410
6150313552000
722422165510
oct4776205040
91651818730
10670632480
11314611121
12168715600
13a8c2926b
14650d1840
153dd20dc0
hex27f90a20

670632480 has 384 divisors, whose sum is σ = 2730792960. Its totient is φ = 150543360.

The previous prime is 670632407. The next prime is 670632481. The reversal of 670632480 is 84236076.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670632481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2025915 + ... + 2026245.

It is an arithmetic number, because the mean of its divisors is an integer number (7111440).

Almost surely, 2670632480 is an apocalyptic number.

670632480 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 670632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365396480).

670632480 is an abundant number, since it is smaller than the sum of its proper divisors (2060160480).

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

670632480 is a wasteful number, since it uses less digits than its factorization.

670632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 670632480 is about 25896.5727462149. The cubic root of 670632480 is about 875.3092697230.

The spelling of 670632480 in words is "six hundred seventy million, six hundred thirty-two thousand, four hundred eighty".