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103383104 = 26111959131
BaseRepresentation
bin1100010100110…
…00000001000000
321012112101221212
412022120001000
5202431224404
614131505252
72363512316
oct612300100
9235471855
10103383104
11533a2290
122a758228
1318559646
14da320b6
15912206e
hex6298040

103383104 has 112 divisors (see below), whose sum is σ = 241401600. Its totient is φ = 43430400.

The previous prime is 103383097. The next prime is 103383139. The reversal of 103383104 is 401383301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103383104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 789119 + ... + 789249.

Almost surely, 2103383104 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 103383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120700800).

103383104 is an abundant number, since it is smaller than the sum of its proper divisors (138018496).

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

103383104 is a wasteful number, since it uses less digits than its factorization.

103383104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 103383104 is about 10167.7482266232. The cubic root of 103383104 is about 469.3352667218.

The spelling of 103383104 in words is "one hundred three million, three hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 59 64 76 88 118 131 152 176 209 236 262 304 352 418 472 524 608 649 704 836 944 1048 1121 1216 1298 1441 1672 1888 2096 2242 2489 2596 2882 3344 3776 4192 4484 4978 5192 5764 6688 7729 8384 8968 9956 10384 11528 12331 13376 15458 17936 19912 20768 23056 24662 27379 30916 35872 39824 41536 46112 49324 54758 61832 71744 79648 85019 92224 98648 109516 123664 146851 159296 170038 197296 219032 247328 293702 340076 394592 438064 494656 587404 680152 789184 876128 1174808 1360304 1615361 1752256 2349616 2720608 3230722 4699232 5441216 6461444 9398464 12922888 25845776 51691552 103383104