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1163005424 = 247311312557
BaseRepresentation
bin100010101010010…
…0000110111110000
310000001101210111222
41011110200313300
54340212133144
6311223124212
740551245240
oct10524406760
93001353458
101163005424
11547539209
122855a3668
13156c408b9
14b065db20
156c17e2ee
hex45520df0

1163005424 has 80 divisors (see below), whose sum is σ = 2679638016. Its totient is φ = 478483200.

The previous prime is 1163005397. The next prime is 1163005429. The reversal of 1163005424 is 4245003611.

It is a junction number, because it is equal to n+sod(n) for n = 1163005393 and 1163005402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163005429) 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 15 ways as a sum of consecutive naturals, for example, 453554 + ... + 456110.

Almost surely, 21163005424 is an apocalyptic number.

1163005424 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 1163005424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339819008).

1163005424 is an abundant number, since it is smaller than the sum of its proper divisors (1516632592).

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

1163005424 is a wasteful number, since it uses less digits than its factorization.

1163005424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1163005424 is about 34102.8653341622. The cubic root of 1163005424 is about 1051.6242206269.

The spelling of 1163005424 in words is "one billion, one hundred sixty-three million, five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 131 217 248 262 434 496 524 868 917 1048 1736 1834 2096 2557 3472 3668 4061 5114 7336 8122 10228 14672 16244 17899 20456 28427 32488 35798 40912 56854 64976 71596 79267 113708 143192 158534 227416 286384 317068 334967 454832 554869 634136 669934 1109738 1268272 1339868 2219476 2344769 2679736 4438952 4689538 5359472 8877904 9379076 10383977 18758152 20767954 37516304 41535908 72687839 83071816 145375678 166143632 290751356 581502712 1163005424