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19020672 = 2732111979
BaseRepresentation
bin100100010001…
…1101110000000
31022210100110100
41020203232000
514332130142
61515402400
7320446566
oct110435600
938710410
1019020672
11a811570
126453400
133c2c748
142751a36
151a0ab4c
hex1223b80

19020672 has 192 divisors, whose sum is σ = 63648000. Its totient is φ = 5391360.

The previous prime is 19020647. The next prime is 19020689. The reversal of 19020672 is 27602091.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240729 + ... + 240807.

It is an arithmetic number, because the mean of its divisors is an integer number (331500).

Almost surely, 219020672 is an apocalyptic number.

19020672 is a gapful number since it is divisible by the number (12) 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 19020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31824000).

19020672 is an abundant number, since it is smaller than the sum of its proper divisors (44627328).

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

19020672 is a wasteful number, since it uses less digits than its factorization.

19020672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 19020672 is about 4361.2695399390. The cubic root of 19020672 is about 266.9369038298.

The spelling of 19020672 in words is "nineteen million, twenty thousand, six hundred seventy-two".