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1164306432 = 2113316113
BaseRepresentation
bin100010101100101…
…1110100000000000
310000010211220011110
41011121132200000
54341030301212
6311311043320
740565304252
oct10531364000
93003756143
101164306432
11548247723
12285b10540
131572a7b23
14b08bbcd2
156c339a3c
hex4565e800

1164306432 has 96 divisors (see below), whose sum is σ = 3204714240. Its totient is φ = 375521280.

The previous prime is 1164306371. The next prime is 1164306433. The reversal of 1164306432 is 2346034611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1164306432.

It is not an unprimeable number, because it can be changed into a prime (1164306433) 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, 187408 + ... + 193520.

It is an arithmetic number, because the mean of its divisors is an integer number (33382440).

Almost surely, 21164306432 is an apocalyptic number.

1164306432 is a gapful number since it is divisible by the number (12) 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 1164306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602357120).

1164306432 is an abundant number, since it is smaller than the sum of its proper divisors (2040407808).

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

1164306432 is an equidigital number, since it uses as much as digits as its factorization.

1164306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1164306432 is about 34121.9347634333. The cubic root of 1164306432 is about 1052.0162112515.

The spelling of 1164306432 in words is "one billion, one hundred sixty-four million, three hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 5952 6113 6144 7936 11904 12226 15872 18339 23808 24452 31744 36678 47616 48904 63488 73356 95232 97808 146712 189503 190464 195616 293424 379006 391232 568509 586848 758012 782464 1137018 1173696 1516024 1564928 2274036 2347392 3032048 3129856 4548072 4694784 6064096 6259712 9096144 9389568 12128192 12519424 18192288 18779136 24256384 36384576 37558272 48512768 72769152 97025536 145538304 194051072 291076608 388102144 582153216 1164306432