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1230400520 = 235160119213
BaseRepresentation
bin100100101010110…
…0110110000001000
310011202012211012122
41021111212300020
510004440304040
6322031430412
742330142346
oct11125466010
93152184178
101230400520
11581590138
122a4085408
13167ba985b
14b95a4996
15730431b5
hex49566c08

1230400520 has 32 divisors (see below), whose sum is σ = 2770274520. Its totient is φ = 491827200.

The previous prime is 1230400519. The next prime is 1230400531. The reversal of 1230400520 is 250040321.

It can be written as a sum of positive squares in 4 ways, for example, as 1180472164 + 49928356 = 34358^2 + 7066^2 .

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, 54434 + ... + 73646.

Almost surely, 21230400520 is an apocalyptic number.

1230400520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230400520 is an abundant number, since it is smaller than the sum of its proper divisors (1539874000).

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

1230400520 is a wasteful number, since it uses less digits than its factorization.

1230400520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20825 (or 20821 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1230400520 is about 35077.0654416814. The cubic root of 1230400520 is about 1071.5575534541.

Adding to 1230400520 its reverse (250040321), we get a palindrome (1480440841).

The spelling of 1230400520 in words is "one billion, two hundred thirty million, four hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1601 3202 6404 8005 12808 16010 19213 32020 38426 64040 76852 96065 153704 192130 384260 768520 30760013 61520026 123040052 153800065 246080104 307600130 615200260 1230400520