Search a number
-
+
1110420 = 2232531199
BaseRepresentation
bin100001111000110010100
32002102012200
410033012110
5241013140
635444500
712303243
oct4170624
92072180
101110420
11699303
12456730
132cb56c
1420c95a
1516e030
hex10f194

1110420 has 72 divisors (see below), whose sum is σ = 3494400. Its totient is φ = 285120.

The previous prime is 1110413. The next prime is 1110427. The reversal of 1110420 is 240111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1110413) and next prime (1110427).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110427) 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, 5481 + ... + 5679.

21110420 is an apocalyptic number.

1110420 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 1110420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747200).

1110420 is an abundant number, since it is smaller than the sum of its proper divisors (2383980).

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

1110420 is a wasteful number, since it uses less digits than its factorization.

1110420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1110420 is about 1053.7646796131. The cubic root of 1110420 is about 103.5529379821.

Adding to 1110420 its reverse (240111), we get a palindrome (1350531).

The spelling of 1110420 in words is "one million, one hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 199 279 310 372 398 465 558 597 620 796 930 995 1116 1194 1395 1791 1860 1990 2388 2790 2985 3582 3980 5580 5970 6169 7164 8955 11940 12338 17910 18507 24676 30845 35820 37014 55521 61690 74028 92535 111042 123380 185070 222084 277605 370140 555210 1110420