Search a number
-
+
16122120 = 23357171129
BaseRepresentation
bin111101100000…
…000100001000
31010100002101120
4331200010020
513111401440
61333315240
7254015160
oct75400410
933302346
1016122120
119111873
125495b20
133456321
1421d95a0
151636dd0
hexf60108

16122120 has 128 divisors (see below), whose sum is σ = 58579200. Its totient is φ = 3465216.

The previous prime is 16122109. The next prime is 16122131. The reversal of 16122120 is 2122161.

It is an interprime number because it is at equal distance from previous prime (16122109) and next prime (16122131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 16122120.

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, 13716 + ... + 14844.

It is an arithmetic number, because the mean of its divisors is an integer number (457650).

Almost surely, 216122120 is an apocalyptic number.

16122120 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 16122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29289600).

16122120 is an abundant number, since it is smaller than the sum of its proper divisors (42457080).

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

16122120 is a wasteful number, since it uses less digits than its factorization.

16122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 16122120 is about 4015.2359831024. The cubic root of 16122120 is about 252.6236756482.

Adding to 16122120 its reverse (2122161), we get a palindrome (18244281).

The spelling of 16122120 in words is "sixteen million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1129 1190 1428 1785 2040 2258 2380 2856 3387 3570 4516 4760 5645 6774 7140 7903 9032 11290 13548 14280 15806 16935 19193 22580 23709 27096 31612 33870 38386 39515 45160 47418 57579 63224 67740 76772 79030 94836 95965 115158 118545 134351 135480 153544 158060 189672 191930 230316 237090 268702 287895 316120 383860 403053 460632 474180 537404 575790 671755 767720 806106 948360 1074808 1151580 1343510 1612212 2015265 2303160 2687020 3224424 4030530 5374040 8061060 16122120