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1121150304 = 25327949277
BaseRepresentation
bin100001011010011…
…0110010101100000
32220010122100002100
41002310312111200
54244003302204
6303130050400
736532422531
oct10264662540
92803570070
101121150304
115259508aa
12273579a00
1314b377861
14a8c86688
1568662a39
hex42d36560

1121150304 has 72 divisors (see below), whose sum is σ = 3228694560. Its totient is φ = 368978688.

The previous prime is 1121150299. The next prime is 1121150321. The reversal of 1121150304 is 4030511211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 1887 + ... + 47390.

It is an arithmetic number, because the mean of its divisors is an integer number (44842980).

Almost surely, 21121150304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121150304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614347280).

1121150304 is an abundant number, since it is smaller than the sum of its proper divisors (2107544256).

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

1121150304 is a wasteful number, since it uses less digits than its factorization.

1121150304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49372 (or 49361 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1121150304 is about 33483.5826040166. The cubic root of 1121150304 is about 1038.8542312660.

Adding to 1121150304 its reverse (4030511211), we get a palindrome (5151661515).

The spelling of 1121150304 in words is "one billion, one hundred twenty-one million, one hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752 49277 98554 147831 197108 295662 394216 443493 591324 788432 886986 1182648 1576864 1773972 2365296 3547944 3892883 4730592 7095888 7785766 11678649 14191776 15571532 23357298 31143064 35035947 46714596 62286128 70071894 93429192 124572256 140143788 186858384 280287576 373716768 560575152 1121150304