Search a number
-
+
162274140 = 223257294441
BaseRepresentation
bin10011010110000…
…01101101011100
3102022100101021100
421223001231130
5313020233030
624034033100
74010210310
oct1153015534
9368311240
10162274140
1183665a66
1246418790
1327808902
14177a1b40
15e3a6360
hex9ac1b5c

162274140 has 144 divisors (see below), whose sum is σ = 582079680. Its totient is φ = 35804160.

The previous prime is 162274097. The next prime is 162274141. The reversal of 162274140 is 41472261.

162274140 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 (162274141) 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, 34320 + ... + 38760.

It is an arithmetic number, because the mean of its divisors is an integer number (4042220).

Almost surely, 2162274140 is an apocalyptic number.

162274140 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 162274140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291039840).

162274140 is an abundant number, since it is smaller than the sum of its proper divisors (419805540).

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

162274140 is a wasteful number, since it uses less digits than its factorization.

162274140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 162274140 is about 12738.6867455009. The cubic root of 162274140 is about 545.4435017461.

The spelling of 162274140 in words is "one hundred sixty-two million, two hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3654 4060 4441 5220 6090 7308 8882 9135 12180 13323 17764 18270 22205 26646 31087 36540 39969 44410 53292 62174 66615 79938 88820 93261 124348 128789 133230 155435 159876 186522 199845 257578 266460 279783 310870 373044 386367 399690 466305 515156 559566 621740 643945 772734 799380 901523 932610 1119132 1159101 1287890 1398915 1545468 1803046 1865220 1931835 2318202 2575780 2704569 2797830 3606092 3863670 4507615 4636404 5409138 5595660 5795505 7727340 8113707 9015230 10818276 11591010 13522845 16227414 18030460 23182020 27045690 32454828 40568535 54091380 81137070 162274140