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1230023120 = 24522967141
BaseRepresentation
bin100100101010000…
…1010100111010000
310011201111122111212
41021110022213100
510004341214440
6322015355252
742324011144
oct11124124720
93151448455
101230023120
11581352637
122a3b22b28
13167aa6b41
14b9507224
1572ebb465
hex4950a9d0

1230023120 has 40 divisors (see below), whose sum is σ = 2872334760. Its totient is φ = 489853440.

The previous prime is 1230023107. The next prime is 1230023129. The reversal of 1230023120 is 213200321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 628204096 + 601819024 = 25064^2 + 24532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1230023095 and 1230023104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230023129) 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, 15251 + ... + 51890.

It is an arithmetic number, because the mean of its divisors is an integer number (71808369).

Almost surely, 21230023120 is an apocalyptic number.

1230023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230023120 is an abundant number, since it is smaller than the sum of its proper divisors (1642311640).

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

1230023120 is a wasteful number, since it uses less digits than its factorization.

1230023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67383 (or 67377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1230023120 is about 35071.6854456697. The cubic root of 1230023120 is about 1071.4479828525.

Adding to 1230023120 its reverse (213200321), we get a palindrome (1443223441).

The spelling of 1230023120 in words is "one billion, two hundred thirty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 3664 4580 9160 18320 67141 134282 268564 335705 537128 671410 1074256 1342820 2685640 5371280 15375289 30750578 61501156 76876445 123002312 153752890 246004624 307505780 615011560 1230023120