[go: up one dir, main page]

Search a number
-
+
30353120 = 255741661
BaseRepresentation
bin111001111001…
…0011011100000
32010010002122122
41303302123200
530232244440
63002323412
7515666030
oct163623340
963102578
1030353120
1116151826
12a1b9568
136399935
1440618c0
1529e87b5
hex1cf26e0

30353120 has 96 divisors (see below), whose sum is σ = 84079296. Its totient is φ = 10137600.

The previous prime is 30353119. The next prime is 30353159. The reversal of 30353120 is 2135303.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45590 + ... + 46250.

It is an arithmetic number, because the mean of its divisors is an integer number (875826).

Almost surely, 230353120 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 30353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42039648).

30353120 is an abundant number, since it is smaller than the sum of its proper divisors (53726176).

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

30353120 is a wasteful number, since it uses less digits than its factorization.

30353120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 30353120 is about 5509.3665697610. The cubic root of 30353120 is about 311.9376382045.

Adding to 30353120 its reverse (2135303), we get a palindrome (32488423).

The spelling of 30353120 in words is "thirty million, three hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 661 820 1120 1148 1312 1322 1435 1640 2296 2644 2870 3280 3305 4592 4627 5288 5740 6560 6610 9184 9254 10576 11480 13220 18508 21152 22960 23135 26440 27101 37016 45920 46270 52880 54202 74032 92540 105760 108404 135505 148064 185080 189707 216808 271010 370160 379414 433616 542020 740320 758828 867232 948535 1084040 1517656 1897070 2168080 3035312 3794140 4336160 6070624 7588280 15176560 30353120