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30260800 = 265218913
BaseRepresentation
bin111001101101…
…1111001000000
32002221102000101
41303123321000
530221321200
63000332144
7515132623
oct163337100
962842011
1030260800
1116099429
12a174054
1363668cb
144039dba
1529cb26a
hex1cdbe40

30260800 has 42 divisors (see below), whose sum is σ = 74464418. Its totient is φ = 12103680.

The previous prime is 30260779. The next prime is 30260803. The reversal of 30260800 is 806203.

It can be written as a sum of positive squares in 3 ways, for example, as 8433216 + 21827584 = 2904^2 + 4672^2 .

It is not an unprimeable number, because it can be changed into a prime (30260803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7857 + ... + 11056.

Almost surely, 230260800 is an apocalyptic number.

It is an amenable number.

30260800 is an abundant number, since it is smaller than the sum of its proper divisors (44203618).

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

30260800 is a wasteful number, since it uses less digits than its factorization.

30260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18935 (or 18920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 30260800 is about 5500.9817305641. The cubic root of 30260800 is about 311.6210608756.

The spelling of 30260800 in words is "thirty million, two hundred sixty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 18913 37826 75652 94565 151304 189130 302608 378260 472825 605216 756520 945650 1210432 1513040 1891300 3026080 3782600 6052160 7565200 15130400 30260800