Search a number
-
+
2960920 = 23579937
BaseRepresentation
bin1011010010111000011000
312120102121201
423102320120
51224222140
6143243544
734111264
oct13227030
95512551
102960920
111742646
12ba95b4
137c8931
145710a4
153d749a
hex2d2e18

2960920 has 32 divisors (see below), whose sum is σ = 6753600. Its totient is φ = 1168128.

The previous prime is 2960917. The next prime is 2960927. The reversal of 2960920 is 290692.

2960920 = T24 + T25 + ... + T260.

It is a super-4 number, since 4×29609204 (a number of 27 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2960927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2692 + ... + 3628.

It is an arithmetic number, because the mean of its divisors is an integer number (211050).

22960920 is an apocalyptic number.

2960920 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 2960920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376800).

2960920 is an abundant number, since it is smaller than the sum of its proper divisors (3792680).

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

2960920 is a wasteful number, since it uses less digits than its factorization.

2960920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 2960920 is about 1720.7324022055. The cubic root of 2960920 is about 143.5959610185.

The spelling of 2960920 in words is "two million, nine hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 937 1580 1874 3160 3748 4685 7496 9370 18740 37480 74023 148046 296092 370115 592184 740230 1480460 2960920