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16420160 = 26523297
BaseRepresentation
bin111110101000…
…110101000000
31010220020020002
4332220311000
513200421120
61343535132
7256366121
oct76506500
933806202
1016420160
1192a5789
1255ba4a8
13352bb93
142276048
151695375
hexfa8d40

16420160 has 84 divisors (see below), whose sum is σ = 41295828. Its totient is φ = 6217728.

The previous prime is 16420153. The next prime is 16420171. The reversal of 16420160 is 6102461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6635776 + 9784384 = 2576^2 + 3128^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 169232 + ... + 169328.

It is an arithmetic number, because the mean of its divisors is an integer number (491617).

Almost surely, 216420160 is an apocalyptic number.

16420160 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 16420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20647914).

16420160 is an abundant number, since it is smaller than the sum of its proper divisors (24875668).

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

16420160 is an equidigital number, since it uses as much as digits as its factorization.

16420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 16420160 is about 4052.1796603803. The cubic root of 16420160 is about 254.1708813539.

The spelling of 16420160 in words is "sixteen million, four hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 97 115 160 184 194 230 320 368 388 460 485 529 736 776 920 970 1058 1472 1552 1840 1940 2116 2231 2645 3104 3680 3880 4232 4462 5290 6208 7360 7760 8464 8924 10580 11155 15520 16928 17848 21160 22310 31040 33856 35696 42320 44620 51313 71392 84640 89240 102626 142784 169280 178480 205252 256565 356960 410504 513130 713920 821008 1026260 1642016 2052520 3284032 4105040 8210080 16420160