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1123114240 = 2857611153
BaseRepresentation
bin100001011110001…
…0101110100000000
32220021100010002201
41002330111310000
54300004123430
6303240122544
736555212353
oct10274256400
92807303081
101123114240
11526a72396
12274166454
1314b8b4751
14a923829a
15688ee8ca
hex42f15d00

1123114240 has 72 divisors (see below), whose sum is σ = 2696080968. Its totient is φ = 448266240.

The previous prime is 1123114193. The next prime is 1123114247. The reversal of 1123114240 is 424113211.

It can be written as a sum of positive squares in 4 ways, for example, as 13424896 + 1109689344 = 3664^2 + 33312^2 .

It is a super-2 number, since 2×11231142402 = 2522771192181555200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123114247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973504 + ... + 974656.

It is an arithmetic number, because the mean of its divisors is an integer number (37445569).

Almost surely, 21123114240 is an apocalyptic number.

1123114240 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 1123114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348040484).

1123114240 is an abundant number, since it is smaller than the sum of its proper divisors (1572966728).

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

1123114240 is an equidigital number, since it uses as much as digits as its factorization.

1123114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1123114240 is about 33512.8966220469. The cubic root of 1123114240 is about 1039.4604696582.

Adding to 1123114240 its reverse (424113211), we get a palindrome (1547227451).

The spelling of 1123114240 in words is "one billion, one hundred twenty-three million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 761 1153 1280 1522 2306 3044 3805 4612 5765 6088 7610 9224 11530 12176 15220 18448 23060 24352 30440 36896 46120 48704 60880 73792 92240 97408 121760 147584 184480 194816 243520 295168 368960 487040 737920 877433 974080 1475840 1754866 3509732 4387165 7019464 8774330 14038928 17548660 28077856 35097320 56155712 70194640 112311424 140389280 224622848 280778560 561557120 1123114240