Search a number
-
+
2745996 = 2231171293
BaseRepresentation
bin1010011110011010001100
312011111210120
422132122030
51200332441
6134504540
732224551
oct12363214
95144716
102745996
111606120
12b05150
13751b66
14516a28
15393966
hex29e68c

2745996 has 48 divisors (see below), whose sum is σ = 7112448. Its totient is φ = 817600.

The previous prime is 2745989. The next prime is 2746021. The reversal of 2745996 is 6995472.

2745996 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

2745996 is a nontrivial binomial coefficient, being equal to C(2344, 2).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9226 + ... + 9518.

It is an arithmetic number, because the mean of its divisors is an integer number (148176).

22745996 is an apocalyptic number.

2745996 is the 2343-rd triangular number and also the 1172-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2745996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556224).

2745996 is an abundant number, since it is smaller than the sum of its proper divisors (4366452).

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

2745996 is a wasteful number, since it uses less digits than its factorization.

2745996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 380 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 2745996 is about 1657.1047039943. The cubic root of 2745996 is about 140.0339373508.

It can be divided in two parts, 2745 and 996, that added together give a triangular number (3741 = T86).

The spelling of 2745996 in words is "two million, seven hundred forty-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 293 426 586 781 852 879 1172 1562 1758 2343 3124 3223 3516 4686 6446 9372 9669 12892 19338 20803 38676 41606 62409 83212 124818 228833 249636 457666 686499 915332 1372998 2745996