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16424240 = 2457139211
BaseRepresentation
bin111110101001…
…110100110000
31010220102211012
4332221310300
513201033430
61344010052
7256414040
oct76516460
933812735
1016424240
1192a8858
125600928
1335309b1
142277720
151696695
hexfa9d30

16424240 has 80 divisors (see below), whose sum is σ = 44163840. Its totient is φ = 5564160.

The previous prime is 16424209. The next prime is 16424249. The reversal of 16424240 is 4242461.

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

It is not an unprimeable number, because it can be changed into a prime (16424249) 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, 77735 + ... + 77945.

It is an arithmetic number, because the mean of its divisors is an integer number (552048).

Almost surely, 216424240 is an apocalyptic number.

16424240 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 16424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22081920).

16424240 is an abundant number, since it is smaller than the sum of its proper divisors (27739600).

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

16424240 is a wasteful number, since it uses less digits than its factorization.

16424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 16424240 is about 4052.6830618739. The cubic root of 16424240 is about 254.1919313176.

The spelling of 16424240 in words is "sixteen million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 139 140 211 278 280 422 556 560 695 844 973 1055 1112 1390 1477 1688 1946 2110 2224 2780 2954 3376 3892 4220 4865 5560 5908 7385 7784 8440 9730 11120 11816 14770 15568 16880 19460 23632 29329 29540 38920 58658 59080 77840 117316 118160 146645 205303 234632 293290 410606 469264 586580 821212 1026515 1173160 1642424 2053030 2346320 3284848 4106060 8212120 16424240