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30202640 = 24513113257
BaseRepresentation
bin111001100110…
…1101100010000
32002211110020022
41303031230100
530212441030
62555203012
7514501226
oct163155420
962743208
1030202640
1116059766
12a146468
1363462b0
144022b16
1529b8de5
hex1ccdb10

30202640 has 80 divisors (see below), whose sum is σ = 76588848. Its totient is φ = 11010048.

The previous prime is 30202637. The next prime is 30202643. The reversal of 30202640 is 4620203.

It is an interprime number because it is at equal distance from previous prime (30202637) and next prime (30202643).

It can be written as a sum of positive squares in 8 ways, for example, as 2027776 + 28174864 = 1424^2 + 5308^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30202643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117392 + ... + 117648.

Almost surely, 230202640 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 30202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38294424).

30202640 is an abundant number, since it is smaller than the sum of its proper divisors (46386208).

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

30202640 is a wasteful number, since it uses less digits than its factorization.

30202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 30202640 is about 5495.6928589578. The cubic root of 30202640 is about 311.4212919289.

Adding to 30202640 its reverse (4620203), we get a palindrome (34822843).

The spelling of 30202640 in words is "thirty million, two hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 113 130 208 226 257 260 452 514 520 565 904 1028 1040 1130 1285 1469 1808 2056 2260 2570 2938 3341 4112 4520 5140 5876 6682 7345 9040 10280 11752 13364 14690 16705 20560 23504 26728 29041 29380 33410 53456 58082 58760 66820 116164 117520 133640 145205 232328 267280 290410 377533 464656 580820 755066 1161640 1510132 1887665 2323280 3020264 3775330 6040528 7550660 15101320 30202640