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2926080 = 29325127
BaseRepresentation
bin1011001010011000000000
312111122211100
423022120000
51222113310
6142414400
733604563
oct13123000
95448740
102926080
111719453
12b91400
137b5b11
145624da
153cbec0
hex2ca600

2926080 has 120 divisors (see below), whose sum is σ = 10213632. Its totient is φ = 774144.

The previous prime is 2926069. The next prime is 2926103. The reversal of 2926080 is 806292.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22977 + ... + 23103.

22926080 is an apocalyptic number.

2926080 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 2926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106816).

2926080 is an abundant number, since it is smaller than the sum of its proper divisors (7287552).

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

2926080 is a wasteful number, since it uses less digits than its factorization.

2926080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2926080 is about 1710.5788493957. The cubic root of 2926080 is about 143.0305247241.

The spelling of 2926080 in words is "two million, nine hundred twenty-six thousand, eighty".

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 96 120 127 128 144 160 180 192 240 254 256 288 320 360 381 384 480 508 512 576 635 640 720 762 768 960 1016 1143 1152 1270 1280 1440 1524 1536 1905 1920 2032 2286 2304 2540 2560 2880 3048 3810 3840 4064 4572 4608 5080 5715 5760 6096 7620 7680 8128 9144 10160 11430 11520 12192 15240 16256 18288 20320 22860 23040 24384 30480 32512 36576 40640 45720 48768 60960 65024 73152 81280 91440 97536 121920 146304 162560 182880 195072 243840 292608 325120 365760 487680 585216 731520 975360 1463040 2926080