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675460320 = 253517235961
BaseRepresentation
bin101000010000101…
…011010011100000
31202001222221100220
4220100223103200
52340404212240
6151005243040
722511214033
oct5020532340
91661887326
10675460320
11317309377
1216a263480
13a9c29882
14659cb01a
153e4765d0
hex2842b4e0

675460320 has 384 divisors, whose sum is σ = 2429844480. Its totient is φ = 156794880.

The previous prime is 675460319. The next prime is 675460321. The reversal of 675460320 is 23064576.

It is an interprime number because it is at equal distance from previous prime (675460319) and next prime (675460321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675460321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11073090 + ... + 11073150.

It is an arithmetic number, because the mean of its divisors is an integer number (6327720).

Almost surely, 2675460320 is an apocalyptic number.

675460320 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 675460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214922240).

675460320 is an abundant number, since it is smaller than the sum of its proper divisors (1754384160).

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

675460320 is a wasteful number, since it uses less digits than its factorization.

675460320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 675460320 is about 25989.6194662407. The cubic root of 675460320 is about 877.4046811667.

The spelling of 675460320 in words is "six hundred seventy-five million, four hundred sixty thousand, three hundred twenty".