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4102215140 = 2251923220407
BaseRepresentation
bin1111010010000010…
…1101010111100100
3101120220001010021002
43310200231113210
531400131341030
61515020412432
7203441152622
oct36440552744
911526033232
104102215140
111815658a51
129659a7118
13504b5c54a
142acb60512
15190216245
hexf482d5e4

4102215140 has 72 divisors (see below), whose sum is σ = 9479924160. Its totient is φ = 1486862784.

The previous prime is 4102215133. The next prime is 4102215167. The reversal of 4102215140 is 415122014.

It is a happy number.

4102215140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190817 + ... + 211223.

Almost surely, 24102215140 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 4102215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739962080).

4102215140 is an abundant number, since it is smaller than the sum of its proper divisors (5377709020).

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

4102215140 is a wasteful number, since it uses less digits than its factorization.

4102215140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20481 (or 20456 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4102215140 is about 64048.5373759620. The cubic root of 4102215140 is about 1600.8088540489.

Adding to 4102215140 its reverse (415122014), we get a palindrome (4517337154).

The spelling of 4102215140 in words is "four billion, one hundred two million, two hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 529 874 1058 1748 2116 2185 2645 4370 5290 8740 10051 10580 20102 20407 40204 40814 50255 81628 100510 102035 201020 204070 387733 408140 469361 775466 938722 1550932 1877444 1938665 2346805 3877330 4693610 7754660 8917859 9387220 10795303 17835718 21590606 35671436 43181212 44589295 53976515 89178590 107953030 178357180 205110757 215906060 410221514 820443028 1025553785 2051107570 4102215140