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2090928 = 24373127
BaseRepresentation
bin111111110011110110000
310221020012210
413332132300
51013402203
6112452120
723526000
oct7763660
93836183
102090928
1111a8a44
1284a040
13582948
143c6000
152b4803
hex1fe7b0

2090928 has 80 divisors (see below), whose sum is σ = 6348800. Its totient is φ = 592704.

The previous prime is 2090923. The next prime is 2090951. The reversal of 2090928 is 8290902.

It is a junction number, because it is equal to n+sod(n) for n = 2090895 and 2090904.

It is not an unprimeable number, because it can be changed into a prime (2090923) 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, 16401 + ... + 16527.

It is an arithmetic number, because the mean of its divisors is an integer number (79360).

22090928 is an apocalyptic number.

2090928 is a gapful number since it is divisible by the number (28) 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 2090928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174400).

2090928 is an abundant number, since it is smaller than the sum of its proper divisors (4257872).

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

2090928 is a wasteful number, since it uses less digits than its factorization.

2090928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2090928 is about 1446.0041493716. The cubic root of 2090928 is about 127.8732469190.

The spelling of 2090928 in words is "two million, ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 127 147 168 196 254 294 336 343 381 392 508 588 686 762 784 889 1016 1029 1176 1372 1524 1778 2032 2058 2352 2667 2744 3048 3556 4116 5334 5488 6096 6223 7112 8232 10668 12446 14224 16464 18669 21336 24892 37338 42672 43561 49784 74676 87122 99568 130683 149352 174244 261366 298704 348488 522732 696976 1045464 2090928