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172072098 = 232114631877
BaseRepresentation
bin10100100000110…
…01110010100010
3102222210011112200
422100121302202
5323022301343
625024034030
74156405632
oct1220316242
9388704480
10172072098
1189148350
1249762916
1329859513
1418bd26c2
151018e4d3
hexa419ca2

172072098 has 48 divisors (see below), whose sum is σ = 407811456. Its totient is φ = 52002720.

The previous prime is 172072093. The next prime is 172072133. The reversal of 172072098 is 890270271.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (172072093) 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 23 ways as a sum of consecutive naturals, for example, 90736 + ... + 92612.

It is an arithmetic number, because the mean of its divisors is an integer number (8496072).

Almost surely, 2172072098 is an apocalyptic number.

172072098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172072098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203905728).

172072098 is an abundant number, since it is smaller than the sum of its proper divisors (235739358).

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

172072098 is a wasteful number, since it uses less digits than its factorization.

172072098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 172072098 is about 13117.6254710980. The cubic root of 172072098 is about 556.2074709226.

The spelling of 172072098 in words is "one hundred seventy-two million, seventy-two thousand, ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 463 926 1389 1877 2778 3754 4167 5093 5631 8334 10186 11262 15279 16893 20647 30558 33786 41294 45837 61941 91674 123882 185823 371646 869051 1738102 2607153 5214306 7821459 9559561 15642918 19119122 28678683 57357366 86036049 172072098