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30254120 = 2351373797
BaseRepresentation
bin111001101101…
…0010000101000
32002221001211222
41303122100220
530221112440
63000241212
7515104301
oct163322050
962831758
1030254120
1116094406
12a170208
136363860
1440377a8
1529c92b5
hex1cda428

30254120 has 64 divisors (see below), whose sum is σ = 74405520. Its totient is φ = 11003904.

The previous prime is 30254113. The next prime is 30254129. The reversal of 30254120 is 2145203.

It can be written as a sum of positive squares in 8 ways, for example, as 8145316 + 22108804 = 2854^2 + 4702^2 .

It is not an unprimeable number, because it can be changed into a prime (30254129) 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, 37562 + ... + 38358.

Almost surely, 230254120 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 30254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37202760).

30254120 is an abundant number, since it is smaller than the sum of its proper divisors (44151400).

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

30254120 is a wasteful number, since it uses less digits than its factorization.

30254120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 30254120 is about 5500.3745327023. The cubic root of 30254120 is about 311.5981293175.

Adding to 30254120 its reverse (2145203), we get a palindrome (32399323).

The spelling of 30254120 in words is "thirty million, two hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 260 292 365 520 584 730 797 949 1460 1594 1898 2920 3188 3796 3985 4745 6376 7592 7970 9490 10361 15940 18980 20722 31880 37960 41444 51805 58181 82888 103610 116362 207220 232724 290905 414440 465448 581810 756353 1163620 1512706 2327240 3025412 3781765 6050824 7563530 15127060 30254120