Search a number
-
+
162929920 = 285127289
BaseRepresentation
bin10011011011000…
…01110100000000
3102100120200211111
421231201310000
5313202224140
624100053104
74015611226
oct1155416400
9370520744
10162929920
1183a7372a
1246694194
13279a824a
14178d2b16
15e4857ea
hex9b61d00

162929920 has 36 divisors (see below), whose sum is σ = 390271140. Its totient is φ = 65171456.

The previous prime is 162929911. The next prime is 162929929. The reversal of 162929920 is 29929261.

It is an interprime number because it is at equal distance from previous prime (162929911) and next prime (162929929).

It can be written as a sum of positive squares in 2 ways, for example, as 36772096 + 126157824 = 6064^2 + 11232^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162929929) 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 3 ways as a sum of consecutive naturals, for example, 62365 + ... + 64924.

It is an arithmetic number, because the mean of its divisors is an integer number (10840865).

Almost surely, 2162929920 is an apocalyptic number.

162929920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162929920 is an abundant number, since it is smaller than the sum of its proper divisors (227341220).

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

162929920 is an equidigital number, since it uses as much as digits as its factorization.

162929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127310 (or 127296 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 162929920 is about 12764.4004951271. The cubic root of 162929920 is about 546.1772604472.

The spelling of 162929920 in words is "one hundred sixty-two million, nine hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 127289 254578 509156 636445 1018312 1272890 2036624 2545780 4073248 5091560 8146496 10183120 16292992 20366240 32585984 40732480 81464960 162929920