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230400120 = 23351920001
BaseRepresentation
bin11011011101110…
…10000001111000
3121001112112112210
431232322001320
5432440300440
634510135120
75465240316
oct1556720170
9531475483
10230400120
11109067025
12651b14a0
133896c442
14228570b6
1515361a80
hexdbba078

230400120 has 32 divisors (see below), whose sum is σ = 691200720. Its totient is φ = 61440000.

The previous prime is 230400077. The next prime is 230400127. The reversal of 230400120 is 21004032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 230400096 and 230400105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230400127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959881 + ... + 960120.

Almost surely, 2230400120 is an apocalyptic number.

230400120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230400120 is an abundant number, since it is smaller than the sum of its proper divisors (460800600).

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

230400120 is a wasteful number, since it uses less digits than its factorization.

230400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920015 (or 1920011 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 230400120 is about 15178.9367216548. The cubic root of 230400120 is about 613.0476523467.

Adding to 230400120 its reverse (21004032), we get a palindrome (251404152).

The spelling of 230400120 in words is "two hundred thirty million, four hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1920001 3840002 5760003 7680004 9600005 11520006 15360008 19200010 23040012 28800015 38400020 46080024 57600030 76800040 115200060 230400120