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16440424 = 23711132053
BaseRepresentation
bin111110101101…
…110001101000
31010221021000121
4332231301220
513202043144
61344213024
7256512160
oct76556150
933837017
1016440424
119309a30
12560a174
133538180
14227d5a0
15169b384
hexfadc68

16440424 has 64 divisors (see below), whose sum is σ = 41408640. Its totient is φ = 5909760.

The previous prime is 16440407. The next prime is 16440481. The reversal of 16440424 is 42404461.

It is a super-3 number, since 3×164404243 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6982 + ... + 9034.

It is an arithmetic number, because the mean of its divisors is an integer number (647010).

Almost surely, 216440424 is an apocalyptic number.

16440424 is a gapful number since it is divisible by the number (14) 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 16440424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20704320).

16440424 is an abundant number, since it is smaller than the sum of its proper divisors (24968216).

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

16440424 is a wasteful number, since it uses less digits than its factorization.

16440424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 16440424 is about 4054.6792721496. The cubic root of 16440424 is about 254.2753951843.

Adding to 16440424 its reverse (42404461), we get a palindrome (58844885).

The spelling of 16440424 in words is "sixteen million, four hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 2053 4004 4106 8008 8212 14371 16424 22583 26689 28742 45166 53378 57484 90332 106756 114968 158081 180664 186823 213512 293579 316162 373646 587158 632324 747292 1174316 1264648 1494584 2055053 2348632 4110106 8220212 16440424