Search a number
-
+
19121400 = 2333523541
BaseRepresentation
bin100100011110…
…0010011111000
31022222110122000
41020330103320
514343341100
61521501000
7321346344
oct110742370
938873560
1019121400
11a880211
1264a1760
133c6654c
14277a624
151a2a900
hex123c4f8

19121400 has 96 divisors (see below), whose sum is σ = 65881200. Its totient is φ = 5097600.

The previous prime is 19121387. The next prime is 19121407. The reversal of 19121400 is 412191.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19121407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3630 + ... + 7170.

Almost surely, 219121400 is an apocalyptic number.

19121400 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 19121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32940600).

19121400 is an abundant number, since it is smaller than the sum of its proper divisors (46759800).

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

19121400 is a wasteful number, since it uses less digits than its factorization.

19121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 19121400 is about 4372.8023051586. The cubic root of 19121400 is about 267.4072814600.

Adding to 19121400 its reverse (412191), we get a palindrome (19533591).

The spelling of 19121400 in words is "nineteen million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 3541 5400 7082 10623 14164 17705 21246 28328 31869 35410 42492 53115 63738 70820 84984 88525 95607 106230 127476 141640 159345 177050 191214 212460 254952 265575 318690 354100 382428 424920 478035 531150 637380 708200 764856 796725 956070 1062300 1274760 1593450 1912140 2124600 2390175 3186900 3824280 4780350 6373800 9560700 19121400