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8485140 = 22351031373
BaseRepresentation
bin100000010111…
…100100010100
3120222002102110
4200113210110
54133011030
6501511020
7132060006
oct40274424
916862373
108485140
114876014
122a12470
1319b11c1
1411ac376
15b291b0
hex817914

8485140 has 48 divisors (see below), whose sum is σ = 24006528. Its totient is φ = 2239104.

The previous prime is 8485133. The next prime is 8485151. The reversal of 8485140 is 415848.

8485140 is a nontrivial binomial coefficient, being equal to C(4120, 2).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8485098 and 8485107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5494 + ... + 6866.

It is an arithmetic number, because the mean of its divisors is an integer number (500136).

Almost surely, 28485140 is an apocalyptic number.

8485140 is the 4119-th triangular number and also the 2060-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8485140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12003264).

8485140 is an abundant number, since it is smaller than the sum of its proper divisors (15521388).

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

8485140 is a wasteful number, since it uses less digits than its factorization.

8485140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 8485140 is about 2912.9263636419. The cubic root of 8485140 is about 203.9637574985.

The spelling of 8485140 in words is "eight million, four hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1373 1545 2060 2746 3090 4119 5492 6180 6865 8238 13730 16476 20595 27460 41190 82380 141419 282838 424257 565676 707095 848514 1414190 1697028 2121285 2828380 4242570 8485140