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19130800 = 2452132283
BaseRepresentation
bin100100011111…
…0100110110000
31022222221112011
41020332212300
514344141200
61522012304
7321415633
oct110764660
938887464
1019130800
11a887287
1264a7094
133c6a900
14277dc1a
151a2d5ba
hex123e9b0

19130800 has 90 divisors (see below), whose sum is σ = 49945092. Its totient is φ = 7038720.

The previous prime is 19130791. The next prime is 19130801. The reversal of 19130800 is 803191.

It is not an unprimeable number, because it can be changed into a prime (19130801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67459 + ... + 67741.

Almost surely, 219130800 is an apocalyptic number.

19130800 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 19130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24972546).

19130800 is an abundant number, since it is smaller than the sum of its proper divisors (30814292).

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

19130800 is a wasteful number, since it uses less digits than its factorization.

19130800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 19130800 is about 4373.8769987278. The cubic root of 19130800 is about 267.4510930474.

Adding to 19130800 its reverse (803191), we get a palindrome (19933991).

The spelling of 19130800 in words is "nineteen million, one hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 169 200 208 260 283 325 338 400 520 566 650 676 845 1040 1132 1300 1352 1415 1690 2264 2600 2704 2830 3380 3679 4225 4528 5200 5660 6760 7075 7358 8450 11320 13520 14150 14716 16900 18395 22640 28300 29432 33800 36790 47827 56600 58864 67600 73580 91975 95654 113200 147160 183950 191308 239135 294320 367900 382616 478270 735800 765232 956540 1195675 1471600 1913080 2391350 3826160 4782700 9565400 19130800