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450028680 = 233519197381
BaseRepresentation
bin11010110100101…
…110010010001000
31011100210211021220
4122310232102020
51410201404210
6112353402040
714103115653
oct3264562210
91140724256
10450028680
11211036232
12106869320
1372309a7a
1443aa889a
1529796c70
hex1ad2e488

450028680 has 64 divisors (see below), whose sum is σ = 1421150400. Its totient is φ = 113690880.

The previous prime is 450028679. The next prime is 450028717. The reversal of 450028680 is 86820054.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96411 + ... + 100970.

It is an arithmetic number, because the mean of its divisors is an integer number (22205475).

Almost surely, 2450028680 is an apocalyptic number.

450028680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450028680 is an abundant number, since it is smaller than the sum of its proper divisors (971121720).

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

450028680 is a wasteful number, since it uses less digits than its factorization.

450028680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197414 (or 197410 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 450028680 is about 21213.8794189087. The cubic root of 450028680 is about 766.3257118659.

The spelling of 450028680 in words is "four hundred fifty million, twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 197381 394762 592143 789524 986905 1184286 1579048 1973810 2368572 2960715 3750239 3947620 4737144 5921430 7500478 7895240 11250717 11842860 15000956 18751195 22501434 23685720 30001912 37502390 45002868 56253585 75004780 90005736 112507170 150009560 225014340 450028680