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672930720 = 253357211172
BaseRepresentation
bin101000000111000…
…001101110100000
31201220020102102000
4220013001232200
52334232240340
6150435124000
722450550100
oct5007015640
91656212360
10672930720
113159408a0
12169443600
13a9552377
146552d200
153e126d30
hex281c1ba0

672930720 has 864 divisors, whose sum is σ = 3175018560. Its totient is φ = 131604480.

The previous prime is 672930689. The next prime is 672930751. The reversal of 672930720 is 27039276.

It is an interprime number because it is at equal distance from previous prime (672930689) and next prime (672930751).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39584152 + ... + 39584168.

It is an arithmetic number, because the mean of its divisors is an integer number (3674790).

Almost surely, 2672930720 is an apocalyptic number.

672930720 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 672930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587509280).

672930720 is an abundant number, since it is smaller than the sum of its proper divisors (2502087840).

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

672930720 is a wasteful number, since it uses less digits than its factorization.

672930720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 672930720 is about 25940.9082339073. The cubic root of 672930720 is about 876.3080170349.

Adding to 672930720 its reverse (27039276), we get a palindrome (699969996).

The spelling of 672930720 in words is "six hundred seventy-two million, nine hundred thirty thousand, seven hundred twenty".