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30269280 = 2535193319
BaseRepresentation
bin111001101110…
…1111101100000
32002221211122110
41303131331200
530222104110
63000435320
7515166426
oct163357540
962854573
1030269280
11160a4838
12a178b40
13636a722
14403d116
1529cda20
hex1cddf60

30269280 has 96 divisors (see below), whose sum is σ = 100396800. Its totient is φ = 7644672.

The previous prime is 30269249. The next prime is 30269287. The reversal of 30269280 is 8296203.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30269287) 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, 7461 + ... + 10779.

It is an arithmetic number, because the mean of its divisors is an integer number (1045800).

Almost surely, 230269280 is an apocalyptic number.

30269280 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 30269280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50198400).

30269280 is an abundant number, since it is smaller than the sum of its proper divisors (70127520).

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

30269280 is a wasteful number, since it uses less digits than its factorization.

30269280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30269280 is about 5501.7524480842. The cubic root of 30269280 is about 311.6501667353.

The spelling of 30269280 in words is "thirty million, two hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 3319 4560 6638 9120 9957 13276 16595 19914 26552 33190 39828 49785 53104 63061 66380 79656 99570 106208 126122 132760 159312 189183 199140 252244 265520 315305 318624 378366 398280 504488 531040 630610 756732 796560 945915 1008976 1261220 1513464 1593120 1891830 2017952 2522440 3026928 3783660 5044880 6053856 7567320 10089760 15134640 30269280