Search a number
-
+
11985024 = 27323259
BaseRepresentation
bin101101101110…
…000010000000
3211112220100210
4231232002000
511032010044
61104514120
7203604522
oct55560200
924486323
1011985024
116846587
12401b940
13263823c
14183da12
1510bb1b9
hexb6e080

11985024 has 96 divisors (see below), whose sum is σ = 33843600. Its totient is φ = 3756544.

The previous prime is 11985019. The next prime is 11985031. The reversal of 11985024 is 42058911.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11984982 and 11985000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203107 + ... + 203165.

Almost surely, 211985024 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 11985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16921800).

11985024 is an abundant number, since it is smaller than the sum of its proper divisors (21858576).

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

11985024 is an equidigital number, since it uses as much as digits as its factorization.

11985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 11985024 is about 3461.9393408897. The cubic root of 11985024 is about 228.8475686383.

The spelling of 11985024 in words is "eleven million, nine hundred eighty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 64 69 92 96 118 128 138 177 184 192 236 276 354 368 384 472 529 552 708 736 944 1058 1104 1357 1416 1472 1587 1888 2116 2208 2714 2832 2944 3174 3776 4071 4232 4416 5428 5664 6348 7552 8142 8464 8832 10856 11328 12696 16284 16928 21712 22656 25392 31211 32568 33856 43424 50784 62422 65136 67712 86848 93633 101568 124844 130272 173696 187266 203136 249688 260544 374532 499376 521088 749064 998752 1498128 1997504 2996256 3995008 5992512 11985024