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1230467540 = 225400115377
BaseRepresentation
bin100100101010111…
…0111000111010100
310011202100020010212
41021111313013110
510004444430130
6322033104552
742330541631
oct11125670724
93152306125
101230467540
11581626525
122a40b8158
13167c01203
14b95c1188
1573057e95
hex495771d4

1230467540 has 24 divisors (see below), whose sum is σ = 2584795752. Its totient is φ = 492032000.

The previous prime is 1230467533. The next prime is 1230467551. The reversal of 1230467540 is 457640321.

It can be written as a sum of positive squares in 4 ways, for example, as 199543876 + 1030923664 = 14126^2 + 32108^2 .

It is a super-4 number, since 4×12304675404 (a number of 37 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1230467497 and 1230467506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72332 + ... + 87708.

It is an arithmetic number, because the mean of its divisors is an integer number (107699823).

Almost surely, 21230467540 is an apocalyptic number.

1230467540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230467540 is an abundant number, since it is smaller than the sum of its proper divisors (1354328212).

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

1230467540 is a wasteful number, since it uses less digits than its factorization.

1230467540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19387 (or 19385 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 1230467540 is about 35078.0207537426. The cubic root of 1230467540 is about 1071.5770090385.

The spelling of 1230467540 in words is "one billion, two hundred thirty million, four hundred sixty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 4001 8002 15377 16004 20005 30754 40010 61508 76885 80020 153770 307540 61523377 123046754 246093508 307616885 615233770 1230467540