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1124430272 = 2678928201
BaseRepresentation
bin100001100000101…
…0111000111000000
32220100210222100122
41003001113013000
54300323232042
6303324235412
736602333240
oct10301270700
92810728318
101124430272
11527791119
1227469bb68
1314bc55774
14a949bb20
1568aae7d2
hex430571c0

1124430272 has 56 divisors (see below), whose sum is σ = 2578790880. Its totient is φ = 476467200.

The previous prime is 1124430271. The next prime is 1124430313. The reversal of 1124430272 is 2720344211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124430271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25772 + ... + 53972.

Almost surely, 21124430272 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 1124430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289395440).

1124430272 is an abundant number, since it is smaller than the sum of its proper divisors (1454360608).

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

1124430272 is an equidigital number, since it uses as much as digits as its factorization.

1124430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28309 (or 28299 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 1124430272 is about 33532.5255833795. The cubic root of 1124430272 is about 1039.8663141772.

Adding to 1124430272 its reverse (2720344211), we get a palindrome (3844774483).

The spelling of 1124430272 in words is "one billion, one hundred twenty-four million, four hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 178 224 356 448 623 712 1246 1424 2492 2848 4984 5696 9968 19936 28201 39872 56402 112804 197407 225608 394814 451216 789628 902432 1579256 1804864 2509889 3158512 5019778 6317024 10039556 12634048 17569223 20079112 35138446 40158224 70276892 80316448 140553784 160632896 281107568 562215136 1124430272