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30028896 = 2532127821
BaseRepresentation
bin111001010001…
…1010001100000
32002111121220100
41302203101200
530141411041
62551342400
7513145542
oct162432140
962447810
1030028896
1115a50177
12a081a00
1362b51a1
143db9692
1529826b6
hex1ca3460

30028896 has 72 divisors (see below), whose sum is σ = 86171904. Its totient is φ = 9918720.

The previous prime is 30028871. The next prime is 30028903. The reversal of 30028896 is 69882003.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30028896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36166 + ... + 36986.

It is an arithmetic number, because the mean of its divisors is an integer number (1196832).

Almost surely, 230028896 is an apocalyptic number.

30028896 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 30028896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43085952).

30028896 is an abundant number, since it is smaller than the sum of its proper divisors (56143008).

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

30028896 is a wasteful number, since it uses less digits than its factorization.

30028896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 30028896 is about 5479.8627720044. The cubic root of 30028896 is about 310.8229814603.

The spelling of 30028896 in words is "thirty million, twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 821 1016 1143 1524 1642 2032 2286 2463 3048 3284 4064 4572 4926 6096 6568 7389 9144 9852 12192 13136 14778 18288 19704 26272 29556 36576 39408 59112 78816 104267 118224 208534 236448 312801 417068 625602 834136 938403 1251204 1668272 1876806 2502408 3336544 3753612 5004816 7507224 10009632 15014448 30028896