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16420144 = 241389887
BaseRepresentation
bin111110101000…
…110100110000
31010220020012111
4332220310300
513200421034
61343535104
7256366066
oct76506460
933806174
1016420144
1192a5774
1255ba494
13352bb80
142276036
151695364
hexfa8d30

16420144 has 40 divisors (see below), whose sum is σ = 34685280. Its totient is φ = 7484928.

The previous prime is 16420133. The next prime is 16420153. The reversal of 16420144 is 44102461.

16420144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164201442 = 539242257961472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18069 + ... + 18955.

It is an arithmetic number, because the mean of its divisors is an integer number (867132).

Almost surely, 216420144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342640).

16420144 is an abundant number, since it is smaller than the sum of its proper divisors (18265136).

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

16420144 is a wasteful number, since it uses less digits than its factorization.

16420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 16420144 is about 4052.1776861337. The cubic root of 16420144 is about 254.1707987981.

The spelling of 16420144 in words is "sixteen million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 356 712 887 1157 1424 1774 2314 3548 4628 7096 9256 11531 14192 18512 23062 46124 78943 92248 157886 184496 315772 631544 1026259 1263088 2052518 4105036 8210072 16420144