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1134672224 = 25726111863
BaseRepresentation
bin100001110100001…
…1011100101100000
32221002002022200012
41003220123211200
54310434002344
6304331544052
740055361200
oct10350334540
92832068605
101134672224
11532547044
12277bbb028
131511004aa
14aa9a6400
156993429e
hex43a1b960

1134672224 has 72 divisors (see below), whose sum is σ = 2641424688. Its totient is φ = 478275840.

The previous prime is 1134672221. The next prime is 1134672251. The reversal of 1134672224 is 4222764311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134672221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89717 + ... + 101579.

It is an arithmetic number, because the mean of its divisors is an integer number (36686454).

Almost surely, 21134672224 is an apocalyptic number.

1134672224 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 1134672224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320712344).

1134672224 is an abundant number, since it is smaller than the sum of its proper divisors (1506752464).

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

1134672224 is a wasteful number, since it uses less digits than its factorization.

1134672224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11948 (or 11933 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 1134672224 is about 33684.8960811815. The cubic root of 1134672224 is about 1043.0140081899.

The spelling of 1134672224 in words is "one billion, one hundred thirty-four million, six hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 392 427 488 784 854 976 1568 1708 1952 2989 3416 5978 6832 11863 11956 13664 23726 23912 47452 47824 83041 94904 95648 166082 189808 332164 379616 581287 664328 723643 1162574 1328656 1447286 2325148 2657312 2894572 4650296 5065501 5789144 9300592 10131002 11578288 18601184 20262004 23156576 35458507 40524008 70917014 81048016 141834028 162096032 283668056 567336112 1134672224