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2006372436 = 2231750319553
BaseRepresentation
bin111011110010110…
…1101000001010100
312011211100021120020
41313211231001110
513102112404221
6531031305140
7100501612215
oct16745550124
95154307506
102006372436
1193a5aa342
1247bb1b1b0
1325c898a33
1415067740c
15bb220ac6
hex7796d054

2006372436 has 48 divisors (see below), whose sum is σ = 4967028864. Its totient is φ = 628166656.

The previous prime is 2006372429. The next prime is 2006372441. The reversal of 2006372436 is 6342736002.

It is a junction number, because it is equal to n+sod(n) for n = 2006372397 and 2006372406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92836 + ... + 112388.

It is an arithmetic number, because the mean of its divisors is an integer number (103479768).

Almost surely, 22006372436 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 2006372436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483514432).

2006372436 is an abundant number, since it is smaller than the sum of its proper divisors (2960656428).

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

2006372436 is a wasteful number, since it uses less digits than its factorization.

2006372436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20080 (or 20078 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 2006372436 is about 44792.5488892963. The cubic root of 2006372436 is about 1261.2577589256.

The spelling of 2006372436 in words is "two billion, six million, three hundred seventy-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 503 1006 1509 2012 3018 6036 8551 17102 19553 25653 34204 39106 51306 58659 78212 102612 117318 234636 332401 664802 997203 1329604 1994406 3988812 9835159 19670318 29505477 39340636 59010954 118021908 167197703 334395406 501593109 668790812 1003186218 2006372436