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1376378406 = 234132572543
BaseRepresentation
bin101001000001001…
…1101111000100110
310112220220021020000
41102002131320212
510304323102111
6344324322130
746052011014
oct12202357046
93486807200
101376378406
11646a25517
12324b43346
1318c1caac0
14d0b238b4
1580c7ac56
hex5209de26

1376378406 has 80 divisors (see below), whose sum is σ = 3335580864. Its totient is φ = 421687296.

The previous prime is 1376378401. The next prime is 1376378413. The reversal of 1376378406 is 6048736731.

1376378406 is a `hidden beast` number, since 1 + 3 + 7 + 637 + 8 + 4 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376378401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539971 + ... + 542513.

Almost surely, 21376378406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376378406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667790432).

1376378406 is an abundant number, since it is smaller than the sum of its proper divisors (1959202458).

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

1376378406 is a wasteful number, since it uses less digits than its factorization.

1376378406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1376378406 is about 37099.5742024083. The cubic root of 1376378406 is about 1112.3615027017.

The spelling of 1376378406 in words is "one billion, three hundred seventy-six million, three hundred seventy-eight thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 257 351 514 702 771 1053 1542 2106 2313 2543 3341 4626 5086 6682 6939 7629 10023 13878 15258 20046 20817 22887 30069 33059 41634 45774 60138 66118 68661 90207 99177 137322 180414 198354 205983 270621 297531 411966 541242 595062 653551 892593 1307102 1785186 1960653 2677779 3921306 5355558 5881959 8496163 11763918 16992326 17645877 25488489 35291754 50976978 52937631 76465467 105875262 152930934 229396401 458792802 688189203 1376378406