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2154480 = 243547191
BaseRepresentation
bin1000001101111111110000
311001110101120
420031333300
51022420410
6114102240
724212166
oct10157760
94043346
102154480
111241769
1287a980
135a5853
14401236
152c8570
hex20dff0

2154480 has 80 divisors (see below), whose sum is σ = 6856704. Its totient is φ = 559360.

The previous prime is 2154419. The next prime is 2154487. The reversal of 2154480 is 844512.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2154480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11185 + ... + 11375.

22154480 is an apocalyptic number.

2154480 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 2154480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428352).

2154480 is an abundant number, since it is smaller than the sum of its proper divisors (4702224).

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

2154480 is a wasteful number, since it uses less digits than its factorization.

2154480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2154480 is about 1467.8147022019. The cubic root of 2154480 is about 129.1558719156.

Adding to 2154480 its reverse (844512), we get a palindrome (2998992).

The spelling of 2154480 in words is "two million, one hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 191 235 240 282 376 382 470 564 573 705 752 764 940 955 1128 1146 1410 1528 1880 1910 2256 2292 2820 2865 3056 3760 3820 4584 5640 5730 7640 8977 9168 11280 11460 15280 17954 22920 26931 35908 44885 45840 53862 71816 89770 107724 134655 143632 179540 215448 269310 359080 430896 538620 718160 1077240 2154480