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4495120 = 245723349
BaseRepresentation
bin10001001001011100010000
322110101010221
4101021130100
52122320440
6240202424
753131210
oct21113420
98411127
104495120
1125a0283
121609414
13c15046
14850240
155dbd4a
hex449710

4495120 has 80 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1469952.

The previous prime is 4495111. The next prime is 4495133. The reversal of 4495120 is 215944.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×44951202 = 40412207628800, which contains 22 as substring.

It is an Ulam 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, 12706 + ... + 13054.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 24495120 is an apocalyptic number.

4495120 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 4495120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

4495120 is an abundant number, since it is smaller than the sum of its proper divisors (8004080).

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

4495120 is a wasteful number, since it uses less digits than its factorization.

4495120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 4495120 is about 2120.1698045204. The cubic root of 4495120 is about 165.0366615811.

The spelling of 4495120 in words is "four million, four hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 349 368 460 560 644 698 805 920 1288 1396 1610 1745 1840 2443 2576 2792 3220 3490 4886 5584 6440 6980 8027 9772 12215 12880 13960 16054 19544 24430 27920 32108 39088 40135 48860 56189 64216 80270 97720 112378 128432 160540 195440 224756 280945 321080 449512 561890 642160 899024 1123780 2247560 4495120