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19052000 = 255311433
BaseRepresentation
bin100100010101…
…1010111100000
31022211221102122
41020223113200
514334131000
61520203412
7320640122
oct110532740
938757378
1019052000
11a833060
126469568
133c40a96
14275d212
151a15085
hex122b5e0

19052000 has 96 divisors (see below), whose sum is σ = 51184224. Its totient is φ = 6912000.

The previous prime is 19051999. The next prime is 19052009. The reversal of 19052000 is 25091.

It is a self number, because there is not a number n which added to its sum of digits gives 19052000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19052009) by changing a digit.

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, 43784 + ... + 44216.

It is an arithmetic number, because the mean of its divisors is an integer number (533169).

Almost surely, 219052000 is an apocalyptic number.

19052000 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 19052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112).

19052000 is an abundant number, since it is smaller than the sum of its proper divisors (32132224).

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

19052000 is a wasteful number, since it uses less digits than its factorization.

19052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 19052000 is about 4364.8596770114. The cubic root of 19052000 is about 267.0833762628.

Adding to 19052000 its reverse (25091), we get a palindrome (19077091).

The spelling of 19052000 in words is "nineteen million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 433 440 500 550 800 866 880 1000 1100 1375 1732 1760 2000 2165 2200 2750 3464 4000 4330 4400 4763 5500 6928 8660 8800 9526 10825 11000 13856 17320 19052 21650 22000 23815 34640 38104 43300 44000 47630 54125 69280 76208 86600 95260 108250 119075 152416 173200 190520 216500 238150 346400 381040 433000 476300 595375 762080 866000 952600 1190750 1732000 1905200 2381500 3810400 4763000 9526000 19052000