Search a number
-
+
455689320 = 233516323297
BaseRepresentation
bin11011001010010…
…100010001101000
31011202110102020020
4123022110101220
51413124024240
6113115000440
714202203202
oct3312242150
91152412206
10455689320
11214252149
12108739120
137353c468
144473d772
152a0140d0
hex1b294468

455689320 has 64 divisors (see below), whose sum is σ = 1375513920. Its totient is φ = 120766464.

The previous prime is 455689319. The next prime is 455689343. The reversal of 455689320 is 23986554.

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, 7912 + ... + 31208.

It is an arithmetic number, because the mean of its divisors is an integer number (21492405).

Almost surely, 2455689320 is an apocalyptic number.

455689320 is a gapful number since it is divisible by the number (40) 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 455689320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687756960).

455689320 is an abundant number, since it is smaller than the sum of its proper divisors (919824600).

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

455689320 is a wasteful number, since it uses less digits than its factorization.

455689320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23474 (or 23470 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 455689320 is about 21346.8808025903. The cubic root of 455689320 is about 769.5253835692.

The spelling of 455689320 in words is "four hundred fifty-five million, six hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 9780 19560 23297 46594 69891 93188 116485 139782 186376 232970 279564 349455 465940 559128 698910 931880 1397820 2795640 3797411 7594822 11392233 15189644 18987055 22784466 30379288 37974110 45568932 56961165 75948220 91137864 113922330 151896440 227844660 455689320