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16116120 = 2332589503
BaseRepresentation
bin111101011110…
…100110011000
31010022210011100
4331132212120
513111203440
61333231400
7253661526
oct75364630
933283140
1016116120
119108309
125492560
133453687
1421d7316
151635230
hexf5e998

16116120 has 96 divisors (see below), whose sum is σ = 53071200. Its totient is φ = 4240896.

The previous prime is 16116109. The next prime is 16116131. The reversal of 16116120 is 2161161.

It is an interprime number because it is at equal distance from previous prime (16116109) and next prime (16116131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16116093 and 16116102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31789 + ... + 32291.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 216116120 is an apocalyptic number.

16116120 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 16116120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535600).

16116120 is an abundant number, since it is smaller than the sum of its proper divisors (36955080).

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

16116120 is a wasteful number, since it uses less digits than its factorization.

16116120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 16116120 is about 4014.4887594811. The cubic root of 16116120 is about 252.5923329934.

Adding to 16116120 its reverse (2161161), we get a palindrome (18277281).

The spelling of 16116120 in words is "sixteen million, one hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 503 534 712 801 890 1006 1068 1335 1509 1602 1780 2012 2136 2515 2670 3018 3204 3560 4005 4024 4527 5030 5340 6036 6408 7545 8010 9054 10060 10680 12072 15090 16020 18108 20120 22635 30180 32040 36216 44767 45270 60360 89534 90540 134301 179068 181080 223835 268602 358136 402903 447670 537204 671505 805806 895340 1074408 1343010 1611612 1790680 2014515 2686020 3223224 4029030 5372040 8058060 16116120