Search a number
-
+
1648380 = 223583331
BaseRepresentation
bin110010010011011111100
310002202011010
412102123330
5410222010
655155220
720003526
oct6223374
93082133
101648380
11a264a8
12675b10
13459396
1430ca16
15228620
hex1926fc

1648380 has 48 divisors (see below), whose sum is σ = 4685184. Its totient is φ = 432960.

The previous prime is 1648379. The next prime is 1648391. The reversal of 1648380 is 838461.

It is a happy number.

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 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, 4815 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (97608).

21648380 is an apocalyptic number.

1648380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1648380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342592).

1648380 is an abundant number, since it is smaller than the sum of its proper divisors (3036804).

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

1648380 is a wasteful number, since it uses less digits than its factorization.

1648380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1648380 is about 1283.8925188660. The cubic root of 1648380 is about 118.1278896860.

1648380 divided by its sum of digits (30) gives a triangular number (54946 = T331).

The spelling of 1648380 in words is "one million, six hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 331 332 415 498 662 830 993 996 1245 1324 1655 1660 1986 2490 3310 3972 4965 4980 6620 9930 19860 27473 54946 82419 109892 137365 164838 274730 329676 412095 549460 824190 1648380