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19912000 = 265319131
BaseRepresentation
bin100101111110…
…1010101000000
31101110122010111
41023331111000
520044141000
61550441104
7331151323
oct113752500
941418114
1019912000
11102701a9
126803194
134182364
1429047ba
151b34cba
hex12fd540

19912000 has 112 divisors (see below), whose sum is σ = 52303680. Its totient is φ = 7488000.

The previous prime is 19911979. The next prime is 19912001. The reversal of 19912000 is 21991.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19912001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151935 + ... + 152065.

Almost surely, 219912000 is an apocalyptic number.

19912000 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 19912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26151840).

19912000 is an abundant number, since it is smaller than the sum of its proper divisors (32391680).

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

19912000 is a wasteful number, since it uses less digits than its factorization.

19912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 19912000 is about 4462.2864094542. The cubic root of 19912000 is about 271.0430617428.

Adding to 19912000 its reverse (21991), we get a palindrome (19933991).

The spelling of 19912000 in words is "nineteen million, nine hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 131 152 160 190 200 250 262 304 320 380 400 475 500 524 608 655 760 800 950 1000 1048 1216 1310 1520 1600 1900 2000 2096 2375 2489 2620 3040 3275 3800 4000 4192 4750 4978 5240 6080 6550 7600 8000 8384 9500 9956 10480 12445 13100 15200 16375 19000 19912 20960 24890 26200 30400 32750 38000 39824 41920 49780 52400 62225 65500 76000 79648 99560 104800 124450 131000 152000 159296 199120 209600 248900 262000 311125 398240 497800 524000 622250 796480 995600 1048000 1244500 1991200 2489000 3982400 4978000 9956000 19912000