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30190320 = 243551553
BaseRepresentation
bin111001100101…
…0101011110000
32002210211100000
41303022223300
530212042240
62555030000
7514420266
oct163125360
962724300
1030190320
1116050486
12a13b300
1363407c4
14401c436
1529b5430
hex1ccaaf0

30190320 has 120 divisors (see below), whose sum is σ = 105212016. Its totient is φ = 8045568.

The previous prime is 30190301. The next prime is 30190327. The reversal of 30190320 is 2309103.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×301903202 = 1822910843404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30190293 and 30190302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30190327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18664 + ... + 20216.

Almost surely, 230190320 is an apocalyptic number.

30190320 is a gapful number since it is divisible by the number (30) 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 30190320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52606008).

30190320 is an abundant number, since it is smaller than the sum of its proper divisors (75021696).

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

30190320 is a wasteful number, since it uses less digits than its factorization.

30190320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 30190320 is about 5494.5718668519. The cubic root of 30190320 is about 311.3789420756.

Adding to 30190320 its reverse (2309103), we get a palindrome (32499423).

The spelling of 30190320 in words is "thirty million, one hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1553 1620 1944 2160 2430 3106 3240 3888 4659 4860 6212 6480 7765 9318 9720 12424 13977 15530 18636 19440 23295 24848 27954 31060 37272 41931 46590 55908 62120 69885 74544 83862 93180 111816 124240 125793 139770 167724 186360 209655 223632 251586 279540 335448 372720 377379 419310 503172 559080 628965 670896 754758 838620 1006344 1118160 1257930 1509516 1677240 1886895 2012688 2515860 3019032 3354480 3773790 5031720 6038064 7547580 10063440 15095160 30190320