Search a number
-
+
16424640 = 263351901
BaseRepresentation
bin111110101001…
…111011000000
31010220110101000
4332221323000
513201042030
61344012000
7256415151
oct76517300
933813330
1016424640
1192a9091
125601000
133530c2b
142277928
151696860
hexfa9ec0

16424640 has 112 divisors (see below), whose sum is σ = 57972960. Its totient is φ = 4377600.

The previous prime is 16424627. The next prime is 16424651. The reversal of 16424640 is 4642461.

16424640 is a `hidden beast` number, since 16 + 4 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 7690 + ... + 9590.

Almost surely, 216424640 is an apocalyptic number.

16424640 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 16424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28986480).

16424640 is an abundant number, since it is smaller than the sum of its proper divisors (41548320).

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

16424640 is a wasteful number, since it uses less digits than its factorization.

16424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 16424640 is about 4052.7324115959. The cubic root of 16424640 is about 254.1939948519.

The spelling of 16424640 in words is "sixteen million, four hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 1901 2160 2880 3802 4320 5703 7604 8640 9505 11406 15208 17109 19010 22812 28515 30416 34218 38020 45624 51327 57030 60832 68436 76040 85545 91248 102654 114060 121664 136872 152080 171090 182496 205308 228120 256635 273744 304160 342180 364992 410616 456240 513270 547488 608320 684360 821232 912480 1026540 1094976 1368720 1642464 1824960 2053080 2737440 3284928 4106160 5474880 8212320 16424640