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16148000 = 255311367
BaseRepresentation
bin111101100110…
…011000100000
31010101101220002
4331212120200
513113214000
61334035132
7254153501
oct75463040
933341802
1016148000
11912a260
1254a8aa8
13346503b
142204ba8
15163e8d5
hexf66620

16148000 has 96 divisors (see below), whose sum is σ = 43400448. Its totient is φ = 5856000.

The previous prime is 16147997. The next prime is 16148003. The reversal of 16148000 is 84161.

It is an interprime number because it is at equal distance from previous prime (16147997) and next prime (16148003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16148003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43817 + ... + 44183.

It is an arithmetic number, because the mean of its divisors is an integer number (452088).

Almost surely, 216148000 is an apocalyptic number.

16148000 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 16148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700224).

16148000 is an abundant number, since it is smaller than the sum of its proper divisors (27252448).

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

16148000 is a wasteful number, since it uses less digits than its factorization.

16148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 16148000 is about 4018.4574154767. The cubic root of 16148000 is about 252.7587779285.

The spelling of 16148000 in words is "sixteen million, one hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 367 400 440 500 550 734 800 880 1000 1100 1375 1468 1760 1835 2000 2200 2750 2936 3670 4000 4037 4400 5500 5872 7340 8074 8800 9175 11000 11744 14680 16148 18350 20185 22000 29360 32296 36700 40370 44000 45875 58720 64592 73400 80740 91750 100925 129184 146800 161480 183500 201850 293600 322960 367000 403700 504625 645920 734000 807400 1009250 1468000 1614800 2018500 3229600 4037000 8074000 16148000