Search a number
-
+
172392064 = 2713211491
BaseRepresentation
bin10100100011001…
…11111010000000
3110000101102110021
422101213322000
5323113021224
625034543224
74162210525
oct1221477200
9400342407
10172392064
1189346789
1249897b14
132993c050
1418c7714c
15102041e4
hexa467e80

172392064 has 64 divisors (see below), whose sum is σ = 372365280. Its totient is φ = 79027200.

The previous prime is 172392049. The next prime is 172392067. The reversal of 172392064 is 460293271.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (172392067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350859 + ... + 351349.

Almost surely, 2172392064 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 172392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186182640).

172392064 is an abundant number, since it is smaller than the sum of its proper divisors (199973216).

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

172392064 is a wasteful number, since it uses less digits than its factorization.

172392064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 172392064 is about 13129.8158402927. The cubic root of 172392064 is about 556.5520111590.

The spelling of 172392064 in words is "one hundred seventy-two million, three hundred ninety-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 211 416 422 491 832 844 982 1664 1688 1964 2743 3376 3928 5486 6383 6752 7856 10972 12766 13504 15712 21944 25532 27008 31424 43888 51064 62848 87776 102128 103601 175552 204256 207202 351104 408512 414404 817024 828808 1346813 1657616 2693626 3315232 5387252 6630464 10774504 13260928 21549008 43098016 86196032 172392064