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30153104 = 241726521
BaseRepresentation
bin111001100000…
…1100110010000
32002201221021122
41303001212100
530204344404
62554141412
7514203632
oct163014620
962657248
1030153104
1116025523
12a121868
136329897
14400ca52
1529a93be
hex1cc1990

30153104 has 30 divisors (see below), whose sum is σ = 62069874. Its totient is φ = 14187520.

The previous prime is 30153089. The next prime is 30153119. The reversal of 30153104 is 40135103.

It is an interprime number because it is at equal distance from previous prime (30153089) and next prime (30153119).

It can be written as a sum of positive squares in 3 ways, for example, as 19784704 + 10368400 = 4448^2 + 3220^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1364 + ... + 7884.

Almost surely, 230153104 is an apocalyptic number.

30153104 is a gapful number since it is divisible by the number (34) 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 30153104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31034937).

30153104 is an abundant number, since it is smaller than the sum of its proper divisors (31916770).

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

30153104 is a wasteful number, since it uses less digits than its factorization.

30153104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6563 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 30153104 is about 5491.1842074365. The cubic root of 30153104 is about 311.2509425088.

Adding to 30153104 its reverse (40135103), we get a palindrome (70288207).

The spelling of 30153104 in words is "thirty million, one hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 6521 13042 26084 52168 104336 110857 221714 443428 886856 1773712 1884569 3769138 7538276 15076552 30153104