Search a number
-
+
1485400 = 235271061
BaseRepresentation
bin101101010101001011000
32210110120211
411222221120
5340013100
651500504
715424420
oct5525130
92713524
101485400
11925004
125b7734
13400147
142a9480
151e51ba
hex16aa58

1485400 has 48 divisors (see below), whose sum is σ = 3950640. Its totient is φ = 508800.

The previous prime is 1485397. The next prime is 1485413. The reversal of 1485400 is 45841.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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, 870 + ... + 1930.

It is an arithmetic number, because the mean of its divisors is an integer number (82305).

21485400 is an apocalyptic number.

1485400 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 1485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975320).

1485400 is an abundant number, since it is smaller than the sum of its proper divisors (2465240).

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

1485400 is a wasteful number, since it uses less digits than its factorization.

1485400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1485400 is about 1218.7698716329. The cubic root of 1485400 is about 114.0988165462.

The spelling of 1485400 in words is "one million, four hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1061 1400 2122 4244 5305 7427 8488 10610 14854 21220 26525 29708 37135 42440 53050 59416 74270 106100 148540 185675 212200 297080 371350 742700 1485400