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11073504 = 2531319467
BaseRepresentation
bin101010001111…
…011111100000
3202211120222210
4222033133200
510313323004
61033202120
7163060161
oct52173740
922746883
1011073504
116283762
123860340
1323a9390
141683768
15e8b089
hexa8f7e0

11073504 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3220992.

The previous prime is 11073499. The next prime is 11073547. The reversal of 11073504 is 40537011.

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

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 15 ways as a sum of consecutive naturals, for example, 23479 + ... + 23945.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 211073504 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 11073504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

11073504 is an abundant number, since it is smaller than the sum of its proper divisors (21948576).

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

11073504 is a wasteful number, since it uses less digits than its factorization.

11073504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 11073504 is about 3327.6874853267. The cubic root of 11073504 is about 222.8922777328.

The spelling of 11073504 in words is "eleven million, seventy-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 467 494 608 624 741 912 934 988 1248 1401 1482 1824 1868 1976 2802 2964 3736 3952 5604 5928 6071 7472 7904 8873 11208 11856 12142 14944 17746 18213 22416 23712 24284 26619 35492 36426 44832 48568 53238 70984 72852 97136 106476 115349 141968 145704 194272 212952 230698 283936 291408 346047 425904 461396 582816 692094 851808 922792 1384188 1845584 2768376 3691168 5536752 11073504