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128449104 = 2437537213
BaseRepresentation
bin1111010011111…
…11101001010000
322221200220001020
413221333221100
5230340332404
620425035440
73116541120
oct751775120
9287626036
10128449104
1166562793
1237025b80
13207c48b4
14130b8c80
15b423ed9
hex7a7fa50

128449104 has 80 divisors (see below), whose sum is σ = 386439552. Its totient is φ = 36002304.

The previous prime is 128449099. The next prime is 128449129. The reversal of 128449104 is 401944821.

It is a super-3 number, since 3×1284491043 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14202 + ... + 21414.

Almost surely, 2128449104 is an apocalyptic number.

128449104 is a gapful number since it is divisible by the number (14) 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 128449104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193219776).

128449104 is an abundant number, since it is smaller than the sum of its proper divisors (257990448).

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

128449104 is a wasteful number, since it uses less digits than its factorization.

128449104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 128449104 is about 11333.5389000965. The cubic root of 128449104 is about 504.5571440224.

The spelling of 128449104 in words is "one hundred twenty-eight million, four hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5936 7213 8904 14426 17808 21639 28852 43278 50491 57704 86556 100982 115408 151473 173112 201964 302946 346224 382289 403928 605892 764578 807856 1146867 1211784 1529156 2293734 2423568 2676023 3058312 4587468 5352046 6116624 8028069 9174936 10704092 16056138 18349872 21408184 32112276 42816368 64224552 128449104