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2390080 = 26571197
BaseRepresentation
bin1001000111100001000000
311111102120111
421013201000
51102440310
6123121104
726213110
oct11074100
94442514
102390080
111392780
12973194
13658b64
14463040
1532328a
hex247840

2390080 has 112 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 737280.

The previous prime is 2390077. The next prime is 2390099. The reversal of 2390080 is 800932.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 24592 + ... + 24688.

It is an arithmetic number, because the mean of its divisors is an integer number (64008).

22390080 is an apocalyptic number.

2390080 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 2390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

2390080 is an abundant number, since it is smaller than the sum of its proper divisors (4778816).

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

2390080 is a wasteful number, since it uses less digits than its factorization.

2390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2390080 is about 1545.9883570066. The cubic root of 2390080 is about 133.7018693096.

The spelling of 2390080 in words is "two million, three hundred ninety thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 97 110 112 140 154 160 176 194 220 224 280 308 320 352 385 388 440 448 485 560 616 679 704 770 776 880 970 1067 1120 1232 1358 1540 1552 1760 1940 2134 2240 2464 2716 3080 3104 3395 3520 3880 4268 4928 5335 5432 6160 6208 6790 7469 7760 8536 10670 10864 12320 13580 14938 15520 17072 21340 21728 24640 27160 29876 31040 34144 37345 42680 43456 54320 59752 68288 74690 85360 108640 119504 149380 170720 217280 239008 298760 341440 478016 597520 1195040 2390080