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30151296 = 273273739
BaseRepresentation
bin111001100000…
…1001010000000
32002201211210200
41303001022000
530204320141
62554125200
7514165440
oct163011200
962654720
1030151296
111602412a
12a120800
136328b06
14400c120
1529a8ab6
hex1cc1280

30151296 has 96 divisors (see below), whose sum is σ = 99184800. Its totient is φ = 8612352.

The previous prime is 30151291. The next prime is 30151343. The reversal of 30151296 is 69215103.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30151291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6195 + ... + 9933.

It is an arithmetic number, because the mean of its divisors is an integer number (1033175).

Almost surely, 230151296 is an apocalyptic number.

30151296 is a gapful number since it is divisible by the number (36) 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 30151296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49592400).

30151296 is an abundant number, since it is smaller than the sum of its proper divisors (69033504).

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

30151296 is a wasteful number, since it uses less digits than its factorization.

30151296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 30151296 is about 5491.0195774555. The cubic root of 30151296 is about 311.2447214472.

Adding to 30151296 its reverse (69215103), we get a palindrome (99366399).

The spelling of 30151296 in words is "thirty million, one hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 3739 4032 7478 8064 11217 14956 22434 26173 29912 33651 44868 52346 59824 67302 78519 89736 104692 119648 134604 157038 179472 209384 235557 239296 269208 314076 358944 418768 471114 478592 538416 628152 717888 837536 942228 1076832 1256304 1435776 1675072 1884456 2153664 2512608 3350144 3768912 4307328 5025216 7537824 10050432 15075648 30151296