Search a number
-
+
19941120 = 28335577
BaseRepresentation
bin100110000010…
…0011100000000
31101112010002000
41030010130000
520101103440
61551224000
7331332243
oct114043400
941463060
1019941120
1110290071
126818000
1341926a4
14291125a
151b3d730
hex1304700

19941120 has 144 divisors (see below), whose sum is σ = 70885920. Its totient is φ = 5308416.

The previous prime is 19941071. The next prime is 19941139. The reversal of 19941120 is 2114991.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34272 + ... + 34848.

Almost surely, 219941120 is an apocalyptic number.

19941120 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 19941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35442960).

19941120 is an abundant number, since it is smaller than the sum of its proper divisors (50944800).

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

19941120 is an equidigital number, since it uses as much as digits as its factorization.

19941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 19941120 is about 4465.5481186524. The cubic root of 19941120 is about 271.1751249798.

The spelling of 19941120 in words is "nineteen million, nine hundred forty-one thousand, one hundred twenty".

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 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 577 640 720 768 864 960 1080 1152 1154 1280 1440 1728 1731 1920 2160 2304 2308 2880 2885 3456 3462 3840 4320 4616 5193 5760 5770 6912 6924 8640 8655 9232 10386 11520 11540 13848 15579 17280 17310 18464 20772 23080 25965 27696 31158 34560 34620 36928 41544 46160 51930 55392 62316 69240 73856 77895 83088 92320 103860 110784 124632 138480 147712 155790 166176 184640 207720 221568 249264 276960 311580 332352 369280 415440 443136 498528 553920 623160 664704 738560 830880 997056 1107840 1246320 1329408 1661760 1994112 2215680 2492640 3323520 3988224 4985280 6647040 9970560 19941120