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4891140 = 2232529937
BaseRepresentation
bin10010101010001000000100
3100012111101100
4102222020010
52223004030
6252500100
756400612
oct22521004
910174340
104891140
112840871
12177a630
131023387
149146b2
15669360
hex4aa204

4891140 has 72 divisors (see below), whose sum is σ = 15364440. Its totient is φ = 1257984.

The previous prime is 4891129. The next prime is 4891153. The reversal of 4891140 is 411984.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 4875264 = 126^2 + 2208^2 .

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 23 ways as a sum of consecutive naturals, for example, 4752 + ... + 5688.

It is an arithmetic number, because the mean of its divisors is an integer number (213395).

Almost surely, 24891140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4891140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682220).

4891140 is an abundant number, since it is smaller than the sum of its proper divisors (10473300).

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

4891140 is a wasteful number, since it uses less digits than its factorization.

4891140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4891140 is about 2211.5921866384. The cubic root of 4891140 is about 169.7474913285.

The spelling of 4891140 in words is "four million, eight hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 937 1044 1305 1740 1874 2610 2811 3748 4685 5220 5622 8433 9370 11244 14055 16866 18740 27173 28110 33732 42165 54346 56220 81519 84330 108692 135865 163038 168660 244557 271730 326076 407595 489114 543460 815190 978228 1222785 1630380 2445570 4891140