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30172064 = 2513294161
BaseRepresentation
bin111001100011…
…0001110100000
32002202220021212
41303012032200
530211001224
62554405252
7514313126
oct163061640
962686255
1030172064
111603879a
12a130828
1363353c0
144015916
1529aed0e
hex1cc63a0

30172064 has 96 divisors (see below), whose sum is σ = 68901840. Its totient is φ = 12902400.

The previous prime is 30172063. The next prime is 30172081. The reversal of 30172064 is 46027103.

It can be written as a sum of positive squares in 8 ways, for example, as 10000 + 30162064 = 100^2 + 5492^2 .

It is not an unprimeable number, because it can be changed into a prime (30172063) 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 15 ways as a sum of consecutive naturals, for example, 494594 + ... + 494654.

Almost surely, 230172064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34450920).

30172064 is an abundant number, since it is smaller than the sum of its proper divisors (38729776).

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

30172064 is a wasteful number, since it uses less digits than its factorization.

30172064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

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

The square root of 30172064 is about 5492.9103397015. The cubic root of 30172064 is about 311.3161661024.

Adding to 30172064 its reverse (46027103), we get a palindrome (76199167).

The spelling of 30172064 in words is "thirty million, one hundred seventy-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 29 32 41 52 58 61 82 104 116 122 164 208 232 244 328 377 416 464 488 533 656 754 793 928 976 1066 1189 1312 1508 1586 1769 1952 2132 2378 2501 3016 3172 3538 4264 4756 5002 6032 6344 7076 8528 9512 10004 12064 12688 14152 15457 17056 19024 20008 22997 25376 28304 30914 32513 38048 40016 45994 56608 61828 65026 72529 80032 91988 123656 130052 145058 183976 247312 260104 290116 367952 494624 520208 580232 735904 942877 1040416 1160464 1885754 2320928 3771508 7543016 15086032 30172064