Search a number
-
+
173135352 = 233132321049
BaseRepresentation
bin10100101000111…
…01010111111000
3110001210012001110
422110131113320
5323310312402
625102520320
74201424535
oct1224352770
9401705043
10173135352
1189804175
1249b960a0
1329b3c470
1418dcbd8c
15102ee56c
hexa51d5f8

173135352 has 96 divisors (see below), whose sum is σ = 487746000. Its totient is φ = 50907648.

The previous prime is 173135351. The next prime is 173135371. The reversal of 173135352 is 253531371.

It is a super-2 number, since 2×1731353522 = 59951700224327808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173135351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164524 + ... + 165572.

Almost surely, 2173135352 is an apocalyptic number.

173135352 is a gapful number since it is divisible by the number (12) 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 173135352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243873000).

173135352 is an abundant number, since it is smaller than the sum of its proper divisors (314610648).

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

173135352 is a wasteful number, since it uses less digits than its factorization.

173135352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1090 counting only the distinct ones).

The product of its digits is 9450, while the sum is 30.

The square root of 173135352 is about 13158.0907429612. The cubic root of 173135352 is about 557.3507434231.

The spelling of 173135352 in words is "one hundred seventy-three million, one hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 529 552 598 897 1049 1058 1196 1587 1794 2098 2116 2392 3147 3174 3588 4196 4232 6294 6348 6877 7176 8392 12588 12696 13637 13754 20631 24127 25176 27274 27508 40911 41262 48254 54548 55016 72381 81822 82524 96508 109096 144762 163644 165048 193016 289524 313651 327288 554921 579048 627302 940953 1109842 1254604 1664763 1881906 2219684 2509208 3329526 3763812 4439368 6659052 7213973 7527624 13318104 14427946 21641919 28855892 43283838 57711784 86567676 173135352