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16120000 = 26541331
BaseRepresentation
bin111101011111…
…100011000000
31010022222111001
4331133203000
513111320000
61333301344
7254006041
oct75374300
933288431
1016120000
119110216
125494854
133455380
1421d88c8
15163646a
hexf5f8c0

16120000 has 140 divisors (see below), whose sum is σ = 44435776. Its totient is φ = 5760000.

The previous prime is 16119989. The next prime is 16120051. The reversal of 16120000 is 2161.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519985 + ... + 520015.

Almost surely, 216120000 is an apocalyptic number.

16120000 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 16120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217888).

16120000 is an abundant number, since it is smaller than the sum of its proper divisors (28315776).

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

16120000 is an equidigital number, since it uses as much as digits as its factorization.

16120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 16120000 is about 4014.9719799769. The cubic root of 16120000 is about 252.6126021321.

Adding to 16120000 its reverse (2161), we get a palindrome (16122161).

The spelling of 16120000 in words is "sixteen million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 31 32 40 50 52 62 64 65 80 100 104 124 125 130 155 160 200 208 248 250 260 310 320 325 400 403 416 496 500 520 620 625 650 775 800 806 832 992 1000 1040 1240 1250 1300 1550 1600 1612 1625 1984 2000 2015 2080 2480 2500 2600 3100 3224 3250 3875 4000 4030 4160 4960 5000 5200 6200 6448 6500 7750 8000 8060 8125 9920 10000 10075 10400 12400 12896 13000 15500 16120 16250 19375 20000 20150 20800 24800 25792 26000 31000 32240 32500 38750 40000 40300 49600 50375 52000 62000 64480 65000 77500 80600 100750 104000 124000 128960 130000 155000 161200 201500 248000 251875 260000 310000 322400 403000 503750 520000 620000 644800 806000 1007500 1240000 1612000 2015000 3224000 4030000 8060000 16120000