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19789056 = 28337409
BaseRepresentation
bin100101101111…
…1010100000000
31101020101111000
41023133110000
520031222211
61544052000
7330130020
oct113372400
941211430
1019789056
11101968a1
126764000
13413b401
1428b1a80
151b0d656
hex12df500

19789056 has 144 divisors (see below), whose sum is σ = 67043200. Its totient is φ = 5640192.

The previous prime is 19789027. The next prime is 19789069. The reversal of 19789056 is 65098791.

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

It is a super-2 number, since 2×197890562 = 783213474742272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48180 + ... + 48588.

Almost surely, 219789056 is an apocalyptic number.

19789056 is a gapful number since it is divisible by the number (16) 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 19789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33521600).

19789056 is an abundant number, since it is smaller than the sum of its proper divisors (47254144).

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

19789056 is an equidigital number, since it uses as much as digits as its factorization.

19789056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 19789056 is about 4448.4891817335. The cubic root of 19789056 is about 270.4840698876.

It can be divided in two parts, 197 and 89056, that added together give a triangular number (89253 = T422).

The spelling of 19789056 in words is "nineteen million, seven hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 409 432 448 504 576 672 756 768 818 864 896 1008 1152 1227 1344 1512 1636 1728 1792 2016 2304 2454 2688 2863 3024 3272 3456 3681 4032 4908 5376 5726 6048 6544 6912 7362 8064 8589 9816 11043 11452 12096 13088 14724 16128 17178 19632 22086 22904 24192 25767 26176 29448 34356 39264 44172 45808 48384 51534 52352 58896 68712 77301 78528 88344 91616 103068 104704 117792 137424 154602 157056 176688 183232 206136 235584 274848 309204 314112 353376 366464 412272 471168 549696 618408 706752 732928 824544 942336 1099392 1236816 1413504 1649088 2198784 2473632 2827008 3298176 4947264 6596352 9894528 19789056