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166440120 = 233571118013
BaseRepresentation
bin10011110101110…
…10110010111000
3102121012000220220
421322322302320
5320102040440
624303220040
74060501110
oct1172726270
9377160826
10166440120
1185a50a20
12478a7620
1328636ba2
1418168040
15e92a8d0
hex9ebacb8

166440120 has 128 divisors (see below), whose sum is σ = 622563840. Its totient is φ = 34583040.

The previous prime is 166440101. The next prime is 166440151. The reversal of 166440120 is 21044661.

It is a super-2 number, since 2×1664401202 = 55404627091228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234 + ... + 18246.

It is an arithmetic number, because the mean of its divisors is an integer number (4863780).

Almost surely, 2166440120 is an apocalyptic number.

166440120 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 166440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311281920).

166440120 is an abundant number, since it is smaller than the sum of its proper divisors (456123720).

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

166440120 is a wasteful number, since it uses less digits than its factorization.

166440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18045 (or 18041 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 166440120 is about 12901.1673890389. The cubic root of 166440120 is about 550.0717482157.

Adding to 166440120 its reverse (21044661), we get a palindrome (187484781).

The spelling of 166440120 in words is "one hundred sixty-six million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 18013 36026 54039 72052 90065 108078 126091 144104 180130 198143 216156 252182 270195 360260 378273 396286 432312 504364 540390 594429 630455 720520 756546 792572 990715 1008728 1080780 1188858 1260910 1387001 1513092 1585144 1891365 1981430 2161560 2377716 2521820 2774002 2972145 3026184 3782730 3962860 4161003 4755432 5043640 5548004 5944290 6935005 7565460 7925720 8322006 11096008 11888580 13870010 15130920 16644012 20805015 23777160 27740020 33288024 41610030 55480040 83220060 166440120