Search a number
-
+
2107140736 = 27195211663
BaseRepresentation
bin111110110011000…
…0110101010000000
312102211221211200111
41331212012222000
513303412000421
6545031201104
7103134254311
oct17546065200
95384854614
102107140736
11991476028
124a9816194
1327771b14c
1415dbc8608
15c4ec7ee1
hex7d986a80

2107140736 has 64 divisors (see below), whose sum is σ = 4429900800. Its totient is φ = 995604480.

The previous prime is 2107140689. The next prime is 2107140743. The reversal of 2107140736 is 6370417012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2107140698 and 2107140707.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1266241 + ... + 1267903.

It is an arithmetic number, because the mean of its divisors is an integer number (69217200).

Almost surely, 22107140736 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 2107140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214950400).

2107140736 is an abundant number, since it is smaller than the sum of its proper divisors (2322760064).

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

2107140736 is a wasteful number, since it uses less digits than its factorization.

2107140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 2107140736 is about 45903.6026472868. The cubic root of 2107140736 is about 1282.0289955742.

Adding to 2107140736 its reverse (6370417012), we get a palindrome (8477557748).

The spelling of 2107140736 in words is "two billion, one hundred seven million, one hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 521 608 1042 1216 1663 2084 2432 3326 4168 6652 8336 9899 13304 16672 19798 26608 31597 33344 39596 53216 63194 66688 79192 106432 126388 158384 212864 252776 316768 505552 633536 866423 1011104 1267072 1732846 2022208 3465692 4044416 6931384 13862768 16462037 27725536 32924074 55451072 65848148 110902144 131696296 263392592 526785184 1053570368 2107140736