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1312420520 = 235291131397
BaseRepresentation
bin100111000111001…
…1111001010101000
310101110112212111102
41032032133022220
510141434424040
6334121420532
744344250615
oct11616371250
93343485442
101312420520
11613910a64
1230763a748
1317bb964b8
14c643550c
157a345515
hex4e39f2a8

1312420520 has 32 divisors (see below), whose sum is σ = 3054774600. Its totient is φ = 506865408.

The previous prime is 1312420481. The next prime is 1312420523. The reversal of 1312420520 is 250242131.

It can be written as a sum of positive squares in 4 ways, for example, as 1070991076 + 241429444 = 32726^2 + 15538^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1312420492 and 1312420501.

It is not an unprimeable number, because it can be changed into a prime (1312420523) 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, 564539 + ... + 566858.

Almost surely, 21312420520 is an apocalyptic number.

1312420520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312420520 is an abundant number, since it is smaller than the sum of its proper divisors (1742354080).

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

1312420520 is a wasteful number, since it uses less digits than its factorization.

1312420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131437 (or 1131433 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1312420520 is about 36227.3449206535. The cubic root of 1312420520 is about 1094.8576839429.

Adding to 1312420520 its reverse (250242131), we get a palindrome (1562662651).

The spelling of 1312420520 in words is "one billion, three hundred twelve million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1131397 2262794 4525588 5656985 9051176 11313970 22627940 32810513 45255880 65621026 131242052 164052565 262484104 328105130 656210260 1312420520