[go: up one dir, main page]

Search a number
-
+
19026144 = 253319261
BaseRepresentation
bin100100010010…
…1000011100000
31022210121222000
41020211003200
514332314034
61515444000
7320501544
oct110450340
938717860
1019026144
11a815695
126456600
133c32097
142753a24
151a0c599
hex12250e0

19026144 has 144 divisors (see below), whose sum is σ = 59527440. Its totient is φ = 5909760.

The previous prime is 19026131. The next prime is 19026169. The reversal of 19026144 is 44162091.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311874 + ... + 311934.

It is an arithmetic number, because the mean of its divisors is an integer number (413385).

Almost surely, 219026144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763720).

19026144 is an abundant number, since it is smaller than the sum of its proper divisors (40501296).

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

19026144 is a wasteful number, since it uses less digits than its factorization.

19026144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19026144 is about 4361.8968350936. The cubic root of 19026144 is about 266.9624994675.

The spelling of 19026144 in words is "nineteen million, twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 61 72 76 96 108 114 122 144 152 171 183 216 228 244 288 304 342 361 366 432 456 488 513 549 608 684 722 732 864 912 976 1026 1083 1098 1159 1368 1444 1464 1647 1824 1952 2052 2166 2196 2318 2736 2888 2928 3249 3294 3477 4104 4332 4392 4636 5472 5776 5856 6498 6588 6954 8208 8664 8784 9272 9747 10431 11552 12996 13176 13908 16416 17328 17568 18544 19494 20862 22021 25992 26352 27816 31293 34656 37088 38988 41724 44042 51984 52704 55632 62586 66063 77976 83448 88084 103968 111264 125172 132126 155952 166896 176168 198189 250344 264252 311904 333792 352336 396378 500688 528504 594567 704672 792756 1001376 1057008 1189134 1585512 2114016 2378268 3171024 4756536 6342048 9513072 19026144