Search a number
-
+
1123054400 = 26521353993
BaseRepresentation
bin100001011110000…
…0111001101000000
32220021020002000102
41002330013031000
54300000220100
6303234541532
736554543036
oct10274071500
92807202012
101123054400
11526a31436
122741378a8
1314b893440
14a9220556
15688dbcd5
hex42f07340

1123054400 has 84 divisors (see below), whose sum is σ = 2976041292. Its totient is φ = 414658560.

The previous prime is 1123054393. The next prime is 1123054403. The reversal of 1123054400 is 44503211.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 1123054144 = 16^2 + 33512^2 .

It is a super-2 number, since 2×11230544002 = 2522502370718720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123054403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6197 + ... + 47796.

It is an arithmetic number, because the mean of its divisors is an integer number (35429063).

Almost surely, 21123054400 is an apocalyptic number.

1123054400 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 1123054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488020646).

1123054400 is an abundant number, since it is smaller than the sum of its proper divisors (1852986892).

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

1123054400 is a wasteful number, since it uses less digits than its factorization.

1123054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54028 (or 54013 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1123054400 is about 33512.0038195271. The cubic root of 1123054400 is about 1039.4420083664.

Adding to 1123054400 its reverse (44503211), we get a palindrome (1167557611).

The spelling of 1123054400 in words is "one billion, one hundred twenty-three million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 53993 107986 215972 269965 431944 539930 701909 863888 1079860 1349825 1403818 1727776 2159720 2699650 2807636 3455552 3509545 4319440 5399300 5615272 7019090 8638880 10798600 11230544 14038180 17277760 17547725 21597200 22461088 28076360 35095450 43194400 44922176 56152720 70190900 86388800 112305440 140381800 224610880 280763600 561527200 1123054400