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1230124440 = 233530733391
BaseRepresentation
bin100100101010010…
…0011010110011000
310011201200210111110
41021110203112120
510004402440230
6322021500320
742324612426
oct11124432630
93151623443
101230124440
11581411776
122a3b716a0
13167b10cac
14b9532116
1572edb4b0
hex49523598

1230124440 has 64 divisors (see below), whose sum is σ = 3702504960. Its totient is φ = 326954880.

The previous prime is 1230124417. The next prime is 1230124451. The reversal of 1230124440 is 444210321.

It is a super-2 number, since 2×12301244402 = 3026412275770627200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20145 + ... + 53535.

It is an arithmetic number, because the mean of its divisors is an integer number (57851640).

Almost surely, 21230124440 is an apocalyptic number.

1230124440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851252480).

1230124440 is an abundant number, since it is smaller than the sum of its proper divisors (2472380520).

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

1230124440 is a wasteful number, since it uses less digits than its factorization.

1230124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33712 (or 33708 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1230124440 is about 35073.1298859968. The cubic root of 1230124440 is about 1071.4774013047.

Adding to 1230124440 its reverse (444210321), we get a palindrome (1674334761).

The spelling of 1230124440 in words is "one billion, two hundred thirty million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1228 1535 1842 2456 3070 3684 4605 6140 7368 9210 12280 18420 33391 36840 66782 100173 133564 166955 200346 267128 333910 400692 500865 667820 801384 1001730 1335640 2003460 4006920 10251037 20502074 30753111 41004148 51255185 61506222 82008296 102510370 123012444 153765555 205020740 246024888 307531110 410041480 615062220 1230124440