Search a number
-
+
166942620 = 22345137927
BaseRepresentation
bin10011111001101…
…01011110011100
3102122010120020000
421330311132130
5320214130440
624322054300
74064663115
oct1174653634
9378116200
10166942620
1186264509
1247aaa390
1328781820
141825920c
15e9c9730
hex9f3579c

166942620 has 120 divisors (see below), whose sum is σ = 564061344. Its totient is φ = 41088384.

The previous prime is 166942571. The next prime is 166942621. The reversal of 166942620 is 26249661.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166942621) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 17097 + ... + 25023.

Almost surely, 2166942620 is an apocalyptic number.

166942620 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 166942620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282030672).

166942620 is an abundant number, since it is smaller than the sum of its proper divisors (397118724).

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

166942620 is a wasteful number, since it uses less digits than its factorization.

166942620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7950 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166942620 is about 12920.6276937307. The cubic root of 166942620 is about 550.6247666183.

The spelling of 166942620 in words is "one hundred sixty-six million, nine hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 7927 10530 15854 21060 23781 31708 39635 47562 71343 79270 95124 103051 118905 142686 158540 206102 214029 237810 285372 309153 356715 412204 428058 475620 515255 618306 642087 713430 856116 927459 1030510 1070145 1236612 1284174 1426860 1545765 1854918 2061020 2140290 2568348 2782377 3091530 3210435 3709836 4280580 4637295 5564754 6183060 6420870 8347131 9274590 11129508 12841740 13911885 16694262 18549180 27823770 33388524 41735655 55647540 83471310 166942620