Search a number
-
+
1074420 = 2232547127
BaseRepresentation
bin100000110010011110100
32000120211100
410012103310
5233340140
635010100
712063264
oct4062364
92016740
101074420
11674256
12439930
132b8069
141dd7a4
15163530
hex1064f4

1074420 has 72 divisors (see below), whose sum is σ = 3354624. Its totient is φ = 278208.

The previous prime is 1074389. The next prime is 1074427. The reversal of 1074420 is 244701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1074393 and 1074402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8397 + ... + 8523.

It is an arithmetic number, because the mean of its divisors is an integer number (46592).

21074420 is an apocalyptic number.

1074420 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 1074420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677312).

1074420 is an abundant number, since it is smaller than the sum of its proper divisors (2280204).

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

1074420 is a wasteful number, since it uses less digits than its factorization.

1074420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1074420 is about 1036.5423290923. The cubic root of 1074420 is about 102.4215540972.

The spelling of 1074420 in words is "one million, seventy-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 127 141 180 188 235 254 282 381 423 470 508 564 635 705 762 846 940 1143 1270 1410 1524 1692 1905 2115 2286 2540 2820 3810 4230 4572 5715 5969 7620 8460 11430 11938 17907 22860 23876 29845 35814 53721 59690 71628 89535 107442 119380 179070 214884 268605 358140 537210 1074420