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1126430144 = 26724110433
BaseRepresentation
bin100001100100011…
…1111010111000000
32220111120120122222
41003020333113000
54301331231034
6303435150212
736625332620
oct10310772700
92814516588
101126430144
11528927704
122752a5368
1314c4a5b18
14a985c880
1568d5712e
hex4323f5c0

1126430144 has 56 divisors (see below), whose sum is σ = 2565428448. Its totient is φ = 480706560.

The previous prime is 1126430117. The next prime is 1126430171. The reversal of 1126430144 is 4410346211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1126430117) and next prime (1126430171).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102752 + ... + 113184.

Almost surely, 21126430144 is an apocalyptic number.

1126430144 is a gapful number since it is divisible by the number (14) 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 1126430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282714224).

1126430144 is an abundant number, since it is smaller than the sum of its proper divisors (1438998304).

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

1126430144 is a wasteful number, since it uses less digits than its factorization.

1126430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10693 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1126430144 is about 33562.3322193199. The cubic root of 1126430144 is about 1040.4824388918.

Adding to 1126430144 its reverse (4410346211), we get a palindrome (5536776355).

The spelling of 1126430144 in words is "one billion, one hundred twenty-six million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 241 448 482 964 1687 1928 3374 3856 6748 7712 10433 13496 15424 20866 26992 41732 53984 73031 83464 107968 146062 166928 292124 333856 584248 667712 1168496 2336992 2514353 4673984 5028706 10057412 17600471 20114824 35200942 40229648 70401884 80459296 140803768 160918592 281607536 563215072 1126430144