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19120976 = 2472293
BaseRepresentation
bin100100011110…
…0001101010000
31022222110001022
41020330031100
514343332401
61521455012
7321345200
oct110741520
938873038
1019120976
11a87a966
1264a1468
133c662b4
14277a400
151a2a71b
hex123c350

19120976 has 60 divisors (see below), whose sum is σ = 44634420. Its totient is φ = 7912128.

The previous prime is 19120967. The next prime is 19120987. The reversal of 19120976 is 67902191.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3312400 + 15808576 = 1820^2 + 3976^2 .

It is a super-2 number, since 2×191209762 = 731223446385152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 659330 + ... + 659358.

It is an arithmetic number, because the mean of its divisors is an integer number (743907).

Almost surely, 219120976 is an apocalyptic number.

19120976 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 19120976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22317210).

19120976 is an abundant number, since it is smaller than the sum of its proper divisors (25513444).

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

19120976 is an frugal number, since it uses more digits than its factorization.

19120976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 19120976 is about 4372.7538233932. The cubic root of 19120976 is about 267.4053049394.

The spelling of 19120976 in words is "nineteen million, one hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 841 1421 1624 1682 2842 3248 3364 5684 5887 6728 11368 11774 13456 22736 23548 24389 41209 47096 48778 82418 94192 97556 164836 170723 195112 329672 341446 390224 659344 682892 1195061 1365784 2390122 2731568 4780244 9560488 19120976