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2960640 = 28325257
BaseRepresentation
bin1011010010110100000000
312120102020100
423102310000
51224220030
6143242400
734110414
oct13226400
95512210
102960640
111742411
12ba9400
137c8777
14570d44
153d7360
hex2d2d00

2960640 has 108 divisors (see below), whose sum is σ = 10283364. Its totient is φ = 786432.

The previous prime is 2960623. The next prime is 2960641. The reversal of 2960640 is 460692.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 746496 = 1488^2 + 864^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2960641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11392 + ... + 11648.

22960640 is an apocalyptic number.

2960640 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 2960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141682).

2960640 is an abundant number, since it is smaller than the sum of its proper divisors (7322724).

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

2960640 is a wasteful number, since it uses less digits than its factorization.

2960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2960640 is about 1720.6510395778. The cubic root of 2960640 is about 143.5914344821.

It can be divided in two parts, 29606 and 40, that added together give a triangular number (29646 = T243).

The spelling of 2960640 in words is "two million, nine hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 257 288 320 360 384 480 514 576 640 720 768 771 960 1028 1152 1280 1285 1440 1542 1920 2056 2304 2313 2570 2880 3084 3840 3855 4112 4626 5140 5760 6168 7710 8224 9252 10280 11520 11565 12336 15420 16448 18504 20560 23130 24672 30840 32896 37008 41120 46260 49344 61680 65792 74016 82240 92520 98688 123360 148032 164480 185040 197376 246720 296064 328960 370080 493440 592128 740160 986880 1480320 2960640