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2142074020 = 225359298339
BaseRepresentation
bin111111110101101…
…0111010010100100
312112021200122010211
41333223113102210
513341332332040
6552320025204
7104040220522
oct17753272244
95467618124
102142074020
119aa165a09
124b9462204
13281a2c728
141646bd312
15c80c88ea
hex7fad74a4

2142074020 has 24 divisors (see below), whose sum is σ = 4510900800. Its totient is φ = 854440032.

The previous prime is 2142073993. The next prime is 2142074029. The reversal of 2142074020 is 204702412.

It is a happy number.

It is a super-2 number, since 2×21420740202 = 9176962214317920800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2142073982 and 2142074000.

It is not an unprimeable number, because it can be changed into a prime (2142074029) 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 7 ways as a sum of consecutive naturals, for example, 141990 + ... + 156349.

It is an arithmetic number, because the mean of its divisors is an integer number (187954200).

Almost surely, 22142074020 is an apocalyptic number.

2142074020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142074020 is an abundant number, since it is smaller than the sum of its proper divisors (2368826780).

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

2142074020 is a wasteful number, since it uses less digits than its factorization.

2142074020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298707 (or 298705 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 2142074020 is about 46282.5455220432. The cubic root of 2142074020 is about 1289.0749171584.

Adding to 2142074020 its reverse (204702412), we get a palindrome (2346776432).

The spelling of 2142074020 in words is "two billion, one hundred forty-two million, seventy-four thousand, twenty".

Divisors: 1 2 4 5 10 20 359 718 1436 1795 3590 7180 298339 596678 1193356 1491695 2983390 5966780 107103701 214207402 428414804 535518505 1071037010 2142074020