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2154720 = 2535672
BaseRepresentation
bin1000001110000011100000
311001110201110
420032003200
51022422340
6114103320
724212661
oct10160340
94043643
102154720
111241967
1287ab40
135a59a9
14401368
152c8680
hex20e0e0

2154720 has 72 divisors (see below), whose sum is σ = 6890184. Its totient is φ = 566016.

The previous prime is 2154707. The next prime is 2154727. The reversal of 2154720 is 274512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154727) by changing a digit.

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, 32127 + ... + 32193.

It is an arithmetic number, because the mean of its divisors is an integer number (95697).

22154720 is an apocalyptic number.

2154720 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 2154720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445092).

2154720 is an abundant number, since it is smaller than the sum of its proper divisors (4735464).

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

2154720 is an equidigital number, since it uses as much as digits as its factorization.

2154720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2154720 is about 1467.8964541138. The cubic root of 2154720 is about 129.1606675442.

The spelling of 2154720 in words is "two million, one hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 4489 5360 6432 8040 8978 10720 13467 16080 17956 22445 26934 32160 35912 44890 53868 67335 71824 89780 107736 134670 143648 179560 215472 269340 359120 430944 538680 718240 1077360 2154720