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30190640 = 2451779281
BaseRepresentation
bin111001100101…
…0110000110000
32002210211202212
41303022300300
530212100030
62555031252
7514421234
oct163126060
962724685
1030190640
1116050747
12a13b528
1363409ac
14401c5c4
1529b5595
hex1ccac30

30190640 has 80 divisors (see below), whose sum is σ = 75530880. Its totient is φ = 11182080.

The previous prime is 30190627. The next prime is 30190663. The reversal of 30190640 is 4609103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×301906402 = 1822949487219200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 107300 + ... + 107580.

It is an arithmetic number, because the mean of its divisors is an integer number (944136).

Almost surely, 230190640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30190640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37765440).

30190640 is an abundant number, since it is smaller than the sum of its proper divisors (45340240).

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

30190640 is a wasteful number, since it uses less digits than its factorization.

30190640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 30190640 is about 5494.6009864229. The cubic root of 30190640 is about 311.3800422176.

Adding to 30190640 its reverse (4609103), we get a palindrome (34799743).

The spelling of 30190640 in words is "thirty million, one hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 136 158 170 272 281 316 340 395 562 632 680 790 1124 1264 1343 1360 1405 1580 2248 2686 2810 3160 4496 4777 5372 5620 6320 6715 9554 10744 11240 13430 19108 21488 22199 22480 23885 26860 38216 44398 47770 53720 76432 88796 95540 107440 110995 177592 191080 221990 355184 377383 382160 443980 754766 887960 1509532 1775920 1886915 3019064 3773830 6038128 7547660 15095320 30190640