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16199920 = 2451141449
BaseRepresentation
bin111101110011…
…000011110000
31010111001010001
4331303003300
513121344140
61335115344
7254461042
oct75630360
933431101
1016199920
119165270
125512b54
133482869
142219a92
15164ee9a
hexf730f0

16199920 has 80 divisors (see below), whose sum is σ = 42184800. Its totient is φ = 5734400.

The previous prime is 16199917. The next prime is 16199921. The reversal of 16199920 is 2999161.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16199920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16199921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35856 + ... + 36304.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 216199920 is an apocalyptic number.

16199920 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 16199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092400).

16199920 is an abundant number, since it is smaller than the sum of its proper divisors (25984880).

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

16199920 is a wasteful number, since it uses less digits than its factorization.

16199920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 37.

The square root of 16199920 is about 4024.9124214075. The cubic root of 16199920 is about 253.0293830799.

The spelling of 16199920 in words is "sixteen million, one hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 449 451 656 820 880 898 902 1640 1796 1804 2245 2255 3280 3592 3608 4490 4510 4939 7184 7216 8980 9020 9878 17960 18040 18409 19756 24695 35920 36080 36818 39512 49390 73636 79024 92045 98780 147272 184090 197560 202499 294544 368180 395120 404998 736360 809996 1012495 1472720 1619992 2024990 3239984 4049980 8099960 16199920