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4968540 = 223453067
BaseRepresentation
bin10010111101000001011100
3100100102120000
4102331001130
52232443130
6254254300
760142353
oct22750134
910312500
104968540
112893a35
1217b7390
13104c685
1493499a
15682260
hex4bd05c

4968540 has 60 divisors (see below), whose sum is σ = 15591576. Its totient is φ = 1324512.

The previous prime is 4968517. The next prime is 4968559. The reversal of 4968540 is 458694.

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 junction number, because it is equal to n+sod(n) for n = 4968495 and 4968504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87 + ... + 3153.

Almost surely, 24968540 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 4968540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795788).

4968540 is an abundant number, since it is smaller than the sum of its proper divisors (10623036).

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

4968540 is a wasteful number, since it uses less digits than its factorization.

4968540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4968540 is about 2229.0222071572. The cubic root of 4968540 is about 170.6382008866.

The spelling of 4968540 in words is "four million, nine hundred sixty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3067 6134 9201 12268 15335 18402 27603 30670 36804 46005 55206 61340 82809 92010 110412 138015 165618 184020 248427 276030 331236 414045 496854 552060 828090 993708 1242135 1656180 2484270 4968540