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1362415012 = 227229281853
BaseRepresentation
bin101000100110100…
…1100110110100100
310111221121212001021
41101031030312210
510242234240022
6343105140524
745522223300
oct12115146644
93457555037
101362415012
1163a058622
1232032a744
1318934c23a
14ccd2ad00
157e91d7c7
hex5134cda4

1362415012 has 72 divisors (see below), whose sum is σ = 2882711160. Its totient is φ = 561093120.

The previous prime is 1362414997. The next prime is 1362415013. The reversal of 1362415012 is 2105142631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66846976 + 1295568036 = 8176^2 + 35994^2 .

It is not an unprimeable number, because it can be changed into a prime (1362415013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1596778 + ... + 1597630.

It is an arithmetic number, because the mean of its divisors is an integer number (40037655).

Almost surely, 21362415012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1362415012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441355580).

1362415012 is an abundant number, since it is smaller than the sum of its proper divisors (1520296148).

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

1362415012 is a wasteful number, since it uses less digits than its factorization.

1362415012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1362415012 is about 36910.9064098946. The cubic root of 1362415012 is about 1108.5870645927.

Adding to 1362415012 its reverse (2105142631), we get a palindrome (3467557643).

The spelling of 1362415012 in words is "one billion, three hundred sixty-two million, four hundred fifteen thousand, twelve".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 281 406 562 812 853 1124 1421 1706 1967 2842 3412 3934 5684 5971 7868 8149 11942 13769 16298 23884 24737 27538 32596 41797 49474 55076 57043 83594 98948 114086 167188 173159 228172 239693 346318 399301 479386 692636 798602 958772 1212113 1597204 1677851 2424226 3355702 4848452 6711404 6951097 11744957 13902194 23489914 27804388 46979828 48657679 97315358 194630716 340603753 681207506 1362415012