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30200640 = 2635163193
BaseRepresentation
bin111001100110…
…1001101000000
32002211100111020
41303031031000
530212410030
62555145440
7514462341
oct163151500
962740436
1030200640
1116058208
12a145280
136345402
1440220c8
1529b8510
hex1ccd340

30200640 has 112 divisors (see below), whose sum is σ = 96975168. Its totient is φ = 7962624.

The previous prime is 30200627. The next prime is 30200647. The reversal of 30200640 is 4600203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30200647) by changing a digit.

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, 156384 + ... + 156576.

Almost surely, 230200640 is an apocalyptic number.

30200640 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 30200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48487584).

30200640 is an abundant number, since it is smaller than the sum of its proper divisors (66774528).

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

30200640 is a wasteful number, since it uses less digits than its factorization.

30200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30200640 is about 5495.5108952672. The cubic root of 30200640 is about 311.4144177358.

Adding to 30200640 its reverse (4600203), we get a palindrome (34800843).

The spelling of 30200640 in words is "thirty million, two hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 163 192 193 240 320 326 386 480 489 579 652 772 815 960 965 978 1158 1304 1544 1630 1930 1956 2316 2445 2608 2895 3088 3260 3860 3912 4632 4890 5216 5790 6176 6520 7720 7824 9264 9780 10432 11580 12352 13040 15440 15648 18528 19560 23160 26080 30880 31296 31459 37056 39120 46320 52160 61760 62918 78240 92640 94377 125836 156480 157295 185280 188754 251672 314590 377508 471885 503344 629180 755016 943770 1006688 1258360 1510032 1887540 2013376 2516720 3020064 3775080 5033440 6040128 7550160 10066880 15100320 30200640