Search a number
-
+
2964640 = 25572647
BaseRepresentation
bin1011010011110010100000
312120121201111
423103302200
51224332030
6143313104
734125160
oct13236240
95517644
102964640
111745418
12bab794
137ca533
145725a0
153d862a
hex2d3ca0

2964640 has 48 divisors (see below), whose sum is σ = 8007552. Its totient is φ = 1016064.

The previous prime is 2964617. The next prime is 2964667. The reversal of 2964640 is 464692.

It is a congruent number.

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, 204 + ... + 2443.

It is an arithmetic number, because the mean of its divisors is an integer number (166824).

22964640 is an apocalyptic number.

2964640 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 2964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003776).

2964640 is an abundant number, since it is smaller than the sum of its proper divisors (5042912).

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

2964640 is a wasteful number, since it uses less digits than its factorization.

2964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2964640 is about 1721.8129979763. The cubic root of 2964640 is about 143.6560722253.

The spelling of 2964640 in words is "two million, nine hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2647 5294 10588 13235 18529 21176 26470 37058 42352 52940 74116 84704 92645 105880 148232 185290 211760 296464 370580 423520 592928 741160 1482320 2964640