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105914448 = 243223113283
BaseRepresentation
bin1100101000000…
…10000001010000
321101022000022100
412110002001100
5204103230243
614302040400
72424154323
oct624020120
9241260270
10105914448
1154871102
122b579100
1318c34893
14100d07ba
1594720d3
hex6502050

105914448 has 120 divisors (see below), whose sum is σ = 313140672. Its totient is φ = 33352704.

The previous prime is 105914447. The next prime is 105914509. The reversal of 105914448 is 844419501.

It is a super-2 number, since 2×1059144482 = 22435740590289408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105914441) 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 23 ways as a sum of consecutive naturals, for example, 374115 + ... + 374397.

Almost surely, 2105914448 is an apocalyptic number.

105914448 is a gapful number since it is divisible by the number (18) 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 105914448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156570336).

105914448 is an abundant number, since it is smaller than the sum of its proper divisors (207226224).

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

105914448 is a wasteful number, since it uses less digits than its factorization.

105914448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 105914448 is about 10291.4745299204. The cubic root of 105914448 is about 473.1349923928.

The spelling of 105914448 in words is "one hundred five million, nine hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 113 138 144 184 207 226 276 283 339 368 414 452 552 566 678 828 849 904 1017 1104 1132 1356 1656 1698 1808 2034 2264 2547 2599 2712 3312 3396 4068 4528 5094 5198 5424 6509 6792 7797 8136 10188 10396 13018 13584 15594 16272 19527 20376 20792 23391 26036 31188 31979 39054 40752 41584 46782 52072 58581 62376 63958 78108 93564 95937 104144 117162 124752 127916 156216 187128 191874 234324 255832 287811 312432 374256 383748 468648 511664 575622 735517 767496 937296 1151244 1471034 1534992 2206551 2302488 2942068 4413102 4604976 5884136 6619653 8826204 11768272 13239306 17652408 26478612 35304816 52957224 105914448