[go: up one dir, main page]

Search a number
-
+
30401120 = 255251757
BaseRepresentation
bin111001111111…
…0001001100000
32010012112111102
41303332021200
530240313440
63003333532
7516256001
oct163761140
963175442
1030401120
11161848a2
12a2212a8
1363b5739
1440751a8
152a07b15
hex1cfe260

30401120 has 48 divisors (see below), whose sum is σ = 72204048. Its totient is φ = 12096000.

The previous prime is 30401113. The next prime is 30401123. The reversal of 30401120 is 2110403.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30401123) 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 7 ways as a sum of consecutive naturals, for example, 39782 + ... + 40538.

It is an arithmetic number, because the mean of its divisors is an integer number (1504251).

Almost surely, 230401120 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 30401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36102024).

30401120 is an abundant number, since it is smaller than the sum of its proper divisors (41802928).

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

30401120 is a wasteful number, since it uses less digits than its factorization.

30401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 30401120 is about 5513.7210665756. The cubic root of 30401120 is about 312.1019828788.

Adding to 30401120 its reverse (2110403), we get a palindrome (32511523).

The spelling of 30401120 in words is "thirty million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 502 757 1004 1255 1514 2008 2510 3028 3785 4016 5020 6056 7570 8032 10040 12112 15140 20080 24224 30280 40160 60560 121120 190007 380014 760028 950035 1520056 1900070 3040112 3800140 6080224 7600280 15200560 30401120