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4890960 = 243256793
BaseRepresentation
bin10010101010000101010000
3100012111010200
4102222011100
52223002320
6252455200
756400234
oct22520520
910174120
104890960
112840718
12177a500
131023279
149145c4
15669290
hex4aa150

4890960 has 60 divisors (see below), whose sum is σ = 16427892. Its totient is φ = 1304064.

The previous prime is 4890943. The next prime is 4890971. The reversal of 4890960 is 690984.

It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 3825936 = 1032^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2677 + ... + 4116.

Almost surely, 24890960 is an apocalyptic number.

4890960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4890960 is an abundant number, since it is smaller than the sum of its proper divisors (11536932).

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

4890960 is a wasteful number, since it uses less digits than its factorization.

4890960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4890960 is about 2211.5514916004. The cubic root of 4890960 is about 169.7454089971.

The spelling of 4890960 in words is "four million, eight hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6793 13586 20379 27172 33965 40758 54344 61137 67930 81516 101895 108688 122274 135860 163032 203790 244548 271720 305685 326064 407580 489096 543440 611370 815160 978192 1222740 1630320 2445480 4890960