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30026268 = 2233416781
BaseRepresentation
bin111001010001…
…0101000011100
32002111111022000
41302202220130
530141320033
62551322300
7513135066
oct162425034
962444260
1030026268
1115a491a8
12a080390
1362b3c2c
143db8736
152981a13
hex1ca2a1c

30026268 has 48 divisors (see below), whose sum is σ = 79756320. Its totient is φ = 9763200.

The previous prime is 30026263. The next prime is 30026273. The reversal of 30026268 is 86262003.

30026268 is a `hidden beast` number, since 30 + 0 + 2 + 626 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (30026263) and next prime (30026273).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30026261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038 + ... + 7818.

It is an arithmetic number, because the mean of its divisors is an integer number (1661590).

Almost surely, 230026268 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 30026268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39878160).

30026268 is an abundant number, since it is smaller than the sum of its proper divisors (49730052).

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

30026268 is a wasteful number, since it uses less digits than its factorization.

30026268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30026268 is about 5479.6229797314. The cubic root of 30026268 is about 310.8139138983.

The spelling of 30026268 in words is "thirty million, twenty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 6781 13562 20343 27124 40686 61029 81372 122058 183087 244116 278021 366174 556042 732348 834063 1112084 1668126 2502189 3336252 5004378 7506567 10008756 15013134 30026268