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4020132140 = 2253746711633
BaseRepresentation
bin1110111110011110…
…0101100100101100
3101101011120212112222
43233213211210230
531213123212030
61502525214512
7201423362603
oct35747454454
911334525488
104020132140
111783294862
12942401438
134c0b5001b
142a1cb4a3a
15187e003e5
hexef9e592c

4020132140 has 48 divisors (see below), whose sum is σ = 8689760352. Its totient is φ = 1561107456.

The previous prime is 4020132139. The next prime is 4020132143. The reversal of 4020132140 is 412310204.

It is a super-2 number, since 2×40201321402 = 32322924846121959200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4020132143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339764 + ... + 351396.

It is an arithmetic number, because the mean of its divisors is an integer number (181036674).

Almost surely, 24020132140 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 4020132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344880176).

4020132140 is an abundant number, since it is smaller than the sum of its proper divisors (4669628212).

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

4020132140 is a wasteful number, since it uses less digits than its factorization.

4020132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146 (or 12144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4020132140 is about 63404.5119845583. The cubic root of 4020132140 is about 1590.0597448642.

Adding to 4020132140 its reverse (412310204), we get a palindrome (4432442344).

The spelling of 4020132140 in words is "four billion, twenty million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 467 740 934 1868 2335 4670 9340 11633 17279 23266 34558 46532 58165 69116 86395 116330 172790 232660 345580 430421 860842 1721684 2152105 4304210 5432611 8608420 10865222 21730444 27163055 54326110 108652220 201006607 402013214 804026428 1005033035 2010066070 4020132140