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128916450 = 232521322037
BaseRepresentation
bin1111010111100…
…01101111100010
322222120122010100
413223301233202
5231000311300
620443043230
73123525465
oct753615742
9288518110
10128916450
1166851923
1237210516
1320929530
141319b2dc
15b4b7700
hex7af1be2

128916450 has 72 divisors (see below), whose sum is σ = 373015188. Its totient is φ = 31731840.

The previous prime is 128916433. The next prime is 128916479. The reversal of 128916450 is 54619821.

128916450 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 1 + 645 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6305121 + 122611329 = 2511^2 + 11073^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5169 + ... + 16868.

Almost surely, 2128916450 is an apocalyptic number.

128916450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128916450 is an abundant number, since it is smaller than the sum of its proper divisors (244098738).

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

128916450 is a wasteful number, since it uses less digits than its factorization.

128916450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22068 (or 22060 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 128916450 is about 11354.1380121963. The cubic root of 128916450 is about 505.1683260722.

The spelling of 128916450 in words is "one hundred twenty-eight million, nine hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 22037 44074 66111 110185 132222 198333 220370 286481 330555 396666 550925 572962 661110 859443 991665 1101850 1432405 1652775 1718886 1983330 2578329 2864810 3305550 4297215 4958325 5156658 7162025 8594430 9916650 12891645 14324050 21486075 25783290 42972150 64458225 128916450