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1135452384 = 253311210861
BaseRepresentation
bin100001110101101…
…1010000011100000
32221010112221212000
41003223122003200
54311133434014
6304400404000
740065120543
oct10353320340
92833487760
101135452384
11532a2a200
12278316600
13151314621
14aab2a85a
1569a3a509
hex43ada0e0

1135452384 has 144 divisors (see below), whose sum is σ = 3640507920. Its totient is φ = 344044800.

The previous prime is 1135452361. The next prime is 1135452391. The reversal of 1135452384 is 4832545311.

1135452384 is a `hidden beast` number, since 1 + 1 + 3 + 54 + 523 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 99114 + ... + 109974.

It is an arithmetic number, because the mean of its divisors is an integer number (25281305).

Almost surely, 21135452384 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 1135452384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820253960).

1135452384 is an abundant number, since it is smaller than the sum of its proper divisors (2505055536).

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

1135452384 is a wasteful number, since it uses less digits than its factorization.

1135452384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 10877 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1135452384 is about 33696.4743556355. The cubic root of 1135452384 is about 1043.2529997883.

Adding to 1135452384 its reverse (4832545311), we get a palindrome (5967997695).

The spelling of 1135452384 in words is "one billion, one hundred thirty-five million, four hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1452 1584 1936 2178 2376 2904 3168 3267 3872 4356 4752 5808 6534 8712 9504 10861 11616 13068 17424 21722 26136 32583 34848 43444 52272 65166 86888 97749 104544 119471 130332 173776 195498 238942 260664 293247 347552 358413 390996 477884 521328 586494 716826 781992 955768 1042656 1075239 1172988 1314181 1433652 1563984 1911536 2150478 2345976 2628362 2867304 3127968 3225717 3823072 3942543 4300956 4691952 5256724 5734608 6451434 7885086 8601912 9383904 10513448 11469216 11827629 12902868 15770172 17203824 21026896 23655258 25805736 31540344 34407648 35482887 42053792 47310516 51611472 63080688 70965774 94621032 103222944 126161376 141931548 189242064 283863096 378484128 567726192 1135452384