Search a number
-
+
19124112 = 2437247173
BaseRepresentation
bin100100011110…
…0111110010000
31022222121100110
41020330332100
514343432422
61521521320
7321360300
oct110747620
938877313
1019124112
11a882257
1264a3240
133c67857
14277b600
151a2b60c
hex123cf90

19124112 has 120 divisors (see below), whose sum is σ = 59031936. Its totient is φ = 5316864.

The previous prime is 19124111. The next prime is 19124123. The reversal of 19124112 is 21142191.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (19124111) 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, 110458 + ... + 110630.

Almost surely, 219124112 is an apocalyptic number.

19124112 is a gapful number since it is divisible by the number (12) 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 19124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29515968).

19124112 is an abundant number, since it is smaller than the sum of its proper divisors (39907824).

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

19124112 is a wasteful number, since it uses less digits than its factorization.

19124112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 19124112 is about 4373.1123927930. The cubic root of 19124112 is about 267.4199230425.

The spelling of 19124112 in words is "nineteen million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 49 56 84 94 98 112 141 147 168 173 188 196 282 294 329 336 346 376 392 519 564 588 658 692 752 784 987 1038 1128 1176 1211 1316 1384 1974 2076 2256 2303 2352 2422 2632 2768 3633 3948 4152 4606 4844 5264 6909 7266 7896 8131 8304 8477 9212 9688 13818 14532 15792 16262 16954 18424 19376 24393 25431 27636 29064 32524 33908 36848 48786 50862 55272 56917 58128 65048 67816 97572 101724 110544 113834 130096 135632 170751 195144 203448 227668 341502 390288 398419 406896 455336 683004 796838 910672 1195257 1366008 1593676 2390514 2732016 3187352 4781028 6374704 9562056 19124112