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675680940 = 22365112383
BaseRepresentation
bin101000010001100…
…001001010101100
31202002102011000000
4220101201022230
52340433242230
6151014104300
722513123164
oct5021411254
91662364000
10675680940
1131744a100
1216a34b090
13a9ca610c
1465a475a4
153e4bbb60
hex284612ac

675680940 has 252 divisors, whose sum is σ = 2344511232. Its totient is φ = 163373760.

The previous prime is 675680923. The next prime is 675680953. The reversal of 675680940 is 49086576.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 83 ways as a sum of consecutive naturals, for example, 1763989 + ... + 1764371.

It is an arithmetic number, because the mean of its divisors is an integer number (9303616).

Almost surely, 2675680940 is an apocalyptic number.

675680940 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 675680940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172255616).

675680940 is an abundant number, since it is smaller than the sum of its proper divisors (1668830292).

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

675680940 is a wasteful number, since it uses less digits than its factorization.

675680940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 675680940 is about 25993.8635066048. The cubic root of 675680940 is about 877.5001972386.

The spelling of 675680940 in words is "six hundred seventy-five million, six hundred eighty thousand, nine hundred forty".