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2140431132 = 22373895843
BaseRepresentation
bin111111110010100…
…0110001100011100
312112011121011112010
41333211012030130
513340422244012
6552220511220
7104020236000
oct17745061434
95464534463
102140431132
119a9243654
124b89ab510
132815a59c8
141643b2700
15c7da1c3c
hex7f94631c

2140431132 has 96 divisors (see below), whose sum is σ = 5890752000. Its totient is φ = 604576896.

The previous prime is 2140431127. The next prime is 2140431133. The reversal of 2140431132 is 2311340412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2140431099 and 2140431108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140431133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363403 + ... + 369245.

It is an arithmetic number, because the mean of its divisors is an integer number (61362000).

Almost surely, 22140431132 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 2140431132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945376000).

2140431132 is an abundant number, since it is smaller than the sum of its proper divisors (3750320868).

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

2140431132 is a wasteful number, since it uses less digits than its factorization.

2140431132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2140431132 is about 46264.7936556514. The cubic root of 2140431132 is about 1288.7452759869.

Adding to 2140431132 its reverse (2311340412), we get a palindrome (4451771544).

The spelling of 2140431132 in words is "two billion, one hundred forty million, four hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 89 98 147 178 196 267 294 343 356 534 588 623 686 1029 1068 1246 1372 1869 2058 2492 3738 4116 4361 5843 7476 8722 11686 13083 17444 17529 23372 26166 30527 35058 40901 52332 61054 70116 81802 91581 122108 122703 163604 183162 245406 286307 366324 490812 520027 572614 858921 1040054 1145228 1560081 1717842 2004149 2080108 3120162 3435684 3640189 4008298 6012447 6240324 7280378 8016596 10920567 12024894 14560756 21841134 24049788 25481323 43682268 50962646 76443969 101925292 152887938 178369261 305775876 356738522 535107783 713477044 1070215566 2140431132