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254120424 = 23337328387
BaseRepresentation
bin11110010010110…
…01000111101000
3122201011122200120
433021121013220
51010023323144
641114403240
76203662605
oct1711310750
9581148616
10254120424
11120498488
1271130520
134085601c
1425a6d6ac
1517499e19
hexf2591e8

254120424 has 32 divisors (see below), whose sum is σ = 637026720. Its totient is φ = 84476736.

The previous prime is 254120407. The next prime is 254120429. The reversal of 254120424 is 424021452.

It is a happy number.

254120424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 254120394 and 254120403.

It is not an unprimeable number, because it can be changed into a prime (254120429) 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, 5242 + ... + 23145.

It is an arithmetic number, because the mean of its divisors is an integer number (19907085).

Almost surely, 2254120424 is an apocalyptic number.

254120424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

254120424 is an abundant number, since it is smaller than the sum of its proper divisors (382906296).

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

254120424 is a wasteful number, since it uses less digits than its factorization.

254120424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28769 (or 28765 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 254120424 is about 15941.1550397078. The cubic root of 254120424 is about 633.4026223977.

Adding to 254120424 its reverse (424021452), we get a palindrome (678141876).

The spelling of 254120424 in words is "two hundred fifty-four million, one hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 373 746 1119 1492 2238 2984 4476 8952 28387 56774 85161 113548 170322 227096 340644 681288 10588351 21176702 31765053 42353404 63530106 84706808 127060212 254120424