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3960265212 = 2232236771387
BaseRepresentation
bin1110110000001100…
…1101100111111100
3101012222221022120100
43230003031213330
531102311441322
61452550121100
7200065461501
oct35403154774
911188838510
103960265212
111752514962
12926350190
134b161b7c7
14297d6d4a8
15182a26dac
hexec0cd9fc

3960265212 has 72 divisors (see below), whose sum is σ = 10601974656. Its totient is φ = 1243829664.

The previous prime is 3960265157. The next prime is 3960265219. The reversal of 3960265212 is 2125620693.

3960265212 is a `hidden beast` number, since 39 + 602 + 6 + 5 + 2 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960265219) 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, 19783 + ... + 91169.

It is an arithmetic number, because the mean of its divisors is an integer number (147249648).

Almost surely, 23960265212 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 3960265212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300987328).

3960265212 is an abundant number, since it is smaller than the sum of its proper divisors (6641709444).

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

3960265212 is a wasteful number, since it uses less digits than its factorization.

3960265212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71487 (or 71482 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3960265212 is about 62930.6381025967. The cubic root of 3960265212 is about 1582.1272969095.

The spelling of 3960265212 in words is "three billion, nine hundred sixty million, two hundred sixty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 67 69 92 134 138 201 207 268 276 402 414 603 804 828 1206 1541 2412 3082 4623 6164 9246 13869 18492 27738 55476 71387 142774 214161 285548 428322 642483 856644 1284966 1641901 2569932 3283802 4782929 4925703 6567604 9565858 9851406 14348787 14777109 19131716 19702812 28697574 29554218 43046361 57395148 59108436 86092722 110007367 172185444 220014734 330022101 440029468 660044202 990066303 1320088404 1980132606 3960265212