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2941920 = 25345227
BaseRepresentation
bin1011001110001111100000
312112110120000
423032033200
51223120140
6143020000
734002012
oct13161740
95473500
102941920
11172a343
12b9a600
137c00a7
145681b2
153d1a30
hex2ce3e0

2941920 has 120 divisors (see below), whose sum is σ = 10428264. Its totient is φ = 781056.

The previous prime is 2941891. The next prime is 2941921. The reversal of 2941920 is 291492.

2941920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2941921) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12847 + ... + 13073.

22941920 is an apocalyptic number.

2941920 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 2941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214132).

2941920 is an abundant number, since it is smaller than the sum of its proper divisors (7486344).

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

2941920 is a wasteful number, since it uses less digits than its factorization.

2941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2941920 is about 1715.2026119383. The cubic root of 2941920 is about 143.2881535388.

The spelling of 2941920 in words is "two million, nine hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 227 240 270 288 324 360 405 432 454 480 540 648 681 720 810 864 908 1080 1135 1296 1362 1440 1620 1816 2043 2160 2270 2592 2724 3240 3405 3632 4086 4320 4540 5448 6129 6480 6810 7264 8172 9080 10215 10896 12258 12960 13620 16344 18160 18387 20430 21792 24516 27240 30645 32688 36320 36774 40860 49032 54480 61290 65376 73548 81720 91935 98064 108960 122580 147096 163440 183870 196128 245160 294192 326880 367740 490320 588384 735480 980640 1470960 2941920