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172173136 = 24193715307
BaseRepresentation
bin10100100001100…
…10011101010000
3102222222022010211
422100302131100
5323034020021
625030133504
74160306332
oct1220623520
9388868124
10172173136
1189207253
12497b1294
13298934c5
1418c1b452
15101ae3e1
hexa432750

172173136 has 40 divisors (see below), whose sum is σ = 360656480. Its totient is φ = 79346304.

The previous prime is 172173121. The next prime is 172173139. The reversal of 172173136 is 631371271.

It is a junction number, because it is equal to n+sod(n) for n = 172173098 and 172173107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172173139) 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, 3595 + ... + 18901.

It is an arithmetic number, because the mean of its divisors is an integer number (9016412).

Almost surely, 2172173136 is an apocalyptic number.

172173136 is a gapful number since it is divisible by the number (16) 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 172173136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180328240).

172173136 is an abundant number, since it is smaller than the sum of its proper divisors (188483344).

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

172173136 is a wasteful number, since it uses less digits than its factorization.

172173136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15371 (or 15365 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The square root of 172173136 is about 13121.4761364718. The cubic root of 172173136 is about 556.3163150159.

The spelling of 172173136 in words is "one hundred seventy-two million, one hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 592 703 1406 2812 5624 11248 15307 30614 61228 122456 244912 290833 566359 581666 1132718 1163332 2265436 2326664 4530872 4653328 9061744 10760821 21521642 43043284 86086568 172173136