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254232420 = 223513325939
BaseRepresentation
bin11110010011101…
…00011101100100
3122201101100022120
433021310131210
51010040414140
641121025540
76204640251
oct1711643544
9581340276
10254232420
11120564642
12711852b0
1340894cb0
1425a9c428
15174bd1d0
hexf274764

254232420 has 48 divisors (see below), whose sum is σ = 766610880. Its totient is φ = 62580096.

The previous prime is 254232413. The next prime is 254232427. The reversal of 254232420 is 24232452.

It is a happy number.

254232420 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254232413) and next prime (254232427).

254232420 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (254232427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162190 + ... + 163749.

It is an arithmetic number, because the mean of its divisors is an integer number (15971060).

Almost surely, 2254232420 is an apocalyptic number.

254232420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254232420 is an abundant number, since it is smaller than the sum of its proper divisors (512378460).

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

254232420 is a wasteful number, since it uses less digits than its factorization.

254232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325964 (or 325962 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 254232420 is about 15944.6674471436. The cubic root of 254232420 is about 633.4956598379.

Adding to 254232420 its reverse (24232452), we get a palindrome (278464872).

The spelling of 254232420 in words is "two hundred fifty-four million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 325939 651878 977817 1303756 1629695 1955634 3259390 3911268 4237207 4889085 6518780 8474414 9778170 12711621 16948828 19556340 21186035 25423242 42372070 50846484 63558105 84744140 127116210 254232420