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19081120 = 255313847
BaseRepresentation
bin100100011001…
…0011110100000
31022220102101011
41020302132200
514341043440
61520550304
7321121042
oct110623640
938812334
1019081120
11a852a23
126482394
133c51106
142769a92
151a1d9ea
hex12327a0

19081120 has 48 divisors (see below), whose sum is σ = 46545408. Its totient is φ = 7384320.

The previous prime is 19081109. The next prime is 19081129. The reversal of 19081120 is 2118091.

It is a junction number, because it is equal to n+sod(n) for n = 19081091 and 19081100.

It is not an unprimeable number, because it can be changed into a prime (19081129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3037 + ... + 6883.

It is an arithmetic number, because the mean of its divisors is an integer number (969696).

Almost surely, 219081120 is an apocalyptic number.

19081120 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 19081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23272704).

19081120 is an abundant number, since it is smaller than the sum of its proper divisors (27464288).

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

19081120 is a wasteful number, since it uses less digits than its factorization.

19081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 19081120 is about 4368.1941348800. The cubic root of 19081120 is about 267.2193813854.

The spelling of 19081120 in words is "nineteen million, eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 3847 4960 7694 15388 19235 30776 38470 61552 76940 119257 123104 153880 238514 307760 477028 596285 615520 954056 1192570 1908112 2385140 3816224 4770280 9540560 19081120