Search a number
-
+
2949480 = 233352731
BaseRepresentation
bin1011010000000101101000
312112211221000
423100011220
51223340410
6143115000
734033032
oct13200550
95484830
102949480
111734a96
12ba2a60
137c3671
1456ac52
153d3dc0
hex2d0168

2949480 has 64 divisors (see below), whose sum is σ = 9835200. Its totient is φ = 786240.

The previous prime is 2949467. The next prime is 2949487. The reversal of 2949480 is 849492.

It is a happy number.

2949480 is digitally balanced in base 5, 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 (36).

It is not an unprimeable number, because it can be changed into a prime (2949487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286 + ... + 2445.

It is an arithmetic number, because the mean of its divisors is an integer number (153675).

22949480 is an apocalyptic number.

2949480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917600).

2949480 is an abundant number, since it is smaller than the sum of its proper divisors (6885720).

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

2949480 is a wasteful number, since it uses less digits than its factorization.

2949480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2949480 is about 1717.4050192078. The cubic root of 2949480 is about 143.4107868148.

The spelling of 2949480 in words is "two million, nine hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2731 5462 8193 10924 13655 16386 21848 24579 27310 32772 40965 49158 54620 65544 73737 81930 98316 109240 122895 147474 163860 196632 245790 294948 327720 368685 491580 589896 737370 983160 1474740 2949480