Search a number
-
+
165740190 = 235711157457
BaseRepresentation
bin10011110000011…
…11111010011110
3102112212110210120
421320033322132
5314412141230
624240215410
74051524360
oct1170177236
9375773716
10165740190
1185613070
124760a566
1328450425
1418024d30
15e83d310
hex9e0fe9e

165740190 has 128 divisors (see below), whose sum is σ = 500179968. Its totient is φ = 34145280.

The previous prime is 165740177. The next prime is 165740203. The reversal of 165740190 is 91047561.

It is an interprime number because it is at equal distance from previous prime (165740177) and next prime (165740203).

It is a super-2 number, since 2×1657401902 = 54939621162472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362442 + ... + 362898.

It is an arithmetic number, because the mean of its divisors is an integer number (3907656).

Almost surely, 2165740190 is an apocalyptic number.

165740190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165740190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250089984).

165740190 is an abundant number, since it is smaller than the sum of its proper divisors (334439778).

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

165740190 is a wasteful number, since it uses less digits than its factorization.

165740190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 165740190 is about 12874.0121951162. The cubic root of 165740190 is about 549.2995932824.

The spelling of 165740190 in words is "one hundred sixty-five million, seven hundred forty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 157 165 210 231 314 330 385 457 462 471 770 785 914 942 1099 1155 1371 1570 1727 2198 2285 2310 2355 2742 3199 3297 3454 4570 4710 5027 5181 5495 6398 6594 6855 8635 9597 10054 10362 10990 12089 13710 15081 15995 16485 17270 19194 24178 25135 25905 30162 31990 32970 35189 36267 47985 50270 51810 60445 70378 71749 72534 75405 95970 105567 120890 143498 150810 175945 181335 211134 215247 351890 358745 362670 430494 502243 527835 717490 789239 1004486 1055670 1076235 1506729 1578478 2152470 2367717 2511215 3013458 3946195 4735434 5022430 5524673 7533645 7892390 11049346 11838585 15067290 16574019 23677170 27623365 33148038 55246730 82870095 165740190