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1094025216 = 215331359
BaseRepresentation
bin100000100110101…
…1000000000000000
32211020121020110110
41001031120000000
54220032301331
6300320431320
736053026614
oct10115300000
92736536413
101094025216
11511604379
12266478540
1314586b2cb
14a5425344
15660a5946
hex41358000

1094025216 has 128 divisors (see below), whose sum is σ = 3019852800. Its totient is φ = 351928320.

The previous prime is 1094025209. The next prime is 1094025217. The reversal of 1094025216 is 6125204901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1094025217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3047245 + ... + 3047603.

It is an arithmetic number, because the mean of its divisors is an integer number (23592600).

Almost surely, 21094025216 is an apocalyptic number.

1094025216 is a gapful number since it is divisible by the number (16) 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 1094025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509926400).

1094025216 is an abundant number, since it is smaller than the sum of its proper divisors (1925827584).

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

1094025216 is an frugal number, since it uses more digits than its factorization.

1094025216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1094025216 is about 33076.0520014103. The cubic root of 1094025216 is about 1030.4077362690.

The spelling of 1094025216 in words is "one billion, ninety-four million, twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 359 372 384 496 512 718 744 768 992 1024 1077 1436 1488 1536 1984 2048 2154 2872 2976 3072 3968 4096 4308 5744 5952 6144 7936 8192 8616 11129 11488 11904 12288 15872 16384 17232 22258 22976 23808 24576 31744 32768 33387 34464 44516 45952 47616 49152 63488 66774 68928 89032 91904 95232 98304 126976 133548 137856 178064 183808 190464 253952 267096 275712 356128 367616 380928 507904 534192 551424 712256 735232 761856 1015808 1068384 1102848 1424512 1470464 1523712 2136768 2205696 2849024 2940928 3047424 4273536 4411392 5698048 5881856 8547072 8822784 11396096 11763712 17094144 17645568 22792192 34188288 35291136 45584384 68376576 91168768 136753152 182337536 273506304 364675072 547012608 1094025216