Search a number
-
+
172073772 = 223213228283
BaseRepresentation
bin10100100000110…
…10001100101100
3102222210020211200
422100122030230
5323022330042
625024045500
74156413543
oct1220321454
9388706750
10172073772
1189149632
1249763890
132985a200
1418bd315a
151018ec4c
hexa41a32c

172073772 has 54 divisors (see below), whose sum is σ = 471013452. Its totient is φ = 52943904.

The previous prime is 172073749. The next prime is 172073773. The reversal of 172073772 is 277370271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (172073773) 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 17 ways as a sum of consecutive naturals, for example, 8058 + ... + 20225.

Almost surely, 2172073772 is an apocalyptic number.

172073772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

172073772 is an abundant number, since it is smaller than the sum of its proper divisors (298939680).

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

172073772 is a wasteful number, since it uses less digits than its factorization.

172073772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28319 (or 28301 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 172073772 is about 13117.6892782227. The cubic root of 172073772 is about 556.2092746012.

The spelling of 172073772 in words is "one hundred seventy-two million, seventy-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 28283 56566 84849 113132 169698 254547 339396 367679 509094 735358 1018188 1103037 1470716 2206074 3309111 4412148 4779827 6618222 9559654 13236444 14339481 19119308 28678962 43018443 57357924 86036886 172073772