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164030720 = 285718307
BaseRepresentation
bin10011100011011…
…10100100000000
3102102122121211212
421301232210000
5313442440340
624135425252
74031144450
oct1161564400
9372577755
10164030720
1184655787
1246b25228
1327ca22c9
1417adbd60
15e601a65
hex9c6e900

164030720 has 72 divisors (see below), whose sum is σ = 449058624. Its totient is φ = 56236032.

The previous prime is 164030689. The next prime is 164030723. The reversal of 164030720 is 27030461.

It is not an unprimeable number, because it can be changed into a prime (164030723) 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 7 ways as a sum of consecutive naturals, for example, 194 + ... + 18113.

Almost surely, 2164030720 is an apocalyptic number.

164030720 is a gapful number since it is divisible by the number (10) 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 164030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224529312).

164030720 is an abundant number, since it is smaller than the sum of its proper divisors (285027904).

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

164030720 is an equidigital number, since it uses as much as digits as its factorization.

164030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18335 (or 18321 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 164030720 is about 12807.4478331946. The cubic root of 164030720 is about 547.4045426178.

The spelling of 164030720 in words is "one hundred sixty-four million, thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 18307 36614 73228 91535 128149 146456 183070 256298 292912 366140 512596 585824 640745 732280 1025192 1171648 1281490 1464560 2050384 2343296 2562980 2929120 4100768 4686592 5125960 5858240 8201536 10251920 11716480 16403072 20503840 23432960 32806144 41007680 82015360 164030720