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172145340 = 223252343967
BaseRepresentation
bin10100100001010…
…11101010111100
3102222220220000100
422100223222330
5323032122330
625025401100
74160132313
oct1220535274
9388826010
10172145340
1189198384
1249799190
1329883963
1418c1127a
15101a6060
hexa42babc

172145340 has 144 divisors (see below), whose sum is σ = 558125568. Its totient is φ = 42844032.

The previous prime is 172145333. The next prime is 172145341. The reversal of 172145340 is 43541271.

172145340 is a `hidden beast` number, since 172 + 1 + 453 + 40 = 666.

172145340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172145341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177537 + ... + 178503.

It is an arithmetic number, because the mean of its divisors is an integer number (3875872).

Almost surely, 2172145340 is an apocalyptic number.

172145340 is a gapful number since it is divisible by the number (10) 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 172145340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279062784).

172145340 is an abundant number, since it is smaller than the sum of its proper divisors (385980228).

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

172145340 is a wasteful number, since it uses less digits than its factorization.

172145340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 172145340 is about 13120.4169141076. The cubic root of 172145340 is about 556.2863757721.

The spelling of 172145340 in words is "one hundred seventy-two million, one hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 43 45 46 60 69 86 90 92 115 129 138 172 180 207 215 230 258 276 345 387 414 430 460 516 645 690 774 828 860 967 989 1035 1290 1380 1548 1934 1935 1978 2070 2580 2901 2967 3868 3870 3956 4140 4835 4945 5802 5934 7740 8703 8901 9670 9890 11604 11868 14505 14835 17406 17802 19340 19780 22241 29010 29670 34812 35604 41581 43515 44482 44505 58020 59340 66723 83162 87030 88964 89010 111205 124743 133446 166324 174060 178020 200169 207905 222410 249486 266892 333615 374229 400338 415810 444820 498972 623715 667230 748458 800676 831620 956363 1000845 1247430 1334460 1496916 1871145 1912726 2001690 2494860 2869089 3742290 3825452 4003380 4781815 5738178 7484580 8607267 9563630 11476356 14345445 17214534 19127260 28690890 34429068 43036335 57381780 86072670 172145340