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19123040 = 2551071117
BaseRepresentation
bin100100011110…
…0101101100000
31022222112212202
41020330231200
514343414130
61521512332
7321354206
oct110745540
938875782
1019123040
11a881472
1264a26a8
133c67211
14277b076
151a2b145
hex123cb60

19123040 has 48 divisors (see below), whose sum is σ = 45641232. Its totient is φ = 7570944.

The previous prime is 19123033. The next prime is 19123057. The reversal of 19123040 is 4032191.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 16562 + ... + 17678.

It is an arithmetic number, because the mean of its divisors is an integer number (950859).

Almost surely, 219123040 is an apocalyptic number.

19123040 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 19123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22820616).

19123040 is an abundant number, since it is smaller than the sum of its proper divisors (26518192).

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

19123040 is a wasteful number, since it uses less digits than its factorization.

19123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 19123040 is about 4372.9898239077. The cubic root of 19123040 is about 267.4149262176.

The spelling of 19123040 in words is "nineteen million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1117 1712 2140 2234 3424 4280 4468 5585 8560 8936 11170 17120 17872 22340 35744 44680 89360 119519 178720 239038 478076 597595 956152 1195190 1912304 2390380 3824608 4780760 9561520 19123040