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4390820 = 225779397
BaseRepresentation
bin10000101111111110100100
322021002001222
4100233332210
52111001240
6234035512
752215140
oct20577644
98232058
104390820
112529985
121578b98
13ba9725
14824220
155baeb5
hex42ffa4

4390820 has 48 divisors (see below), whose sum is σ = 10698240. Its totient is φ = 1482624.

The previous prime is 4390817. The next prime is 4390823. The reversal of 4390820 is 280934.

It is an interprime number because it is at equal distance from previous prime (4390817) and next prime (4390823).

It is a self number, because there is not a number n which added to its sum of digits gives 4390820.

It is not an unprimeable number, because it can be changed into a prime (4390823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10862 + ... + 11258.

It is an arithmetic number, because the mean of its divisors is an integer number (222880).

Almost surely, 24390820 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 4390820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349120).

4390820 is an abundant number, since it is smaller than the sum of its proper divisors (6307420).

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

4390820 is a wasteful number, since it uses less digits than its factorization.

4390820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4390820 is about 2095.4283571623. The cubic root of 4390820 is about 163.7502146337.

The spelling of 4390820 in words is "four million, three hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 397 553 790 794 1106 1580 1588 1985 2212 2765 2779 3970 5530 5558 7940 11060 11116 13895 27790 31363 55580 62726 125452 156815 219541 313630 439082 627260 878164 1097705 2195410 4390820