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168845440 = 275263821
BaseRepresentation
bin10100001000001…
…10000010000000
3102202201020101211
422010012002000
5321211023230
624430535504
74120106521
oct1204060200
9382636354
10168845440
1187344095
1248667594
1328c9995a
14185d2848
15ec5342a
hexa106080

168845440 has 32 divisors (see below), whose sum is σ = 403647660. Its totient is φ = 67537920.

The previous prime is 168845431. The next prime is 168845473. The reversal of 168845440 is 44548861.

168845440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 162001984 + 6843456 = 12728^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 168845393 and 168845402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131271 + ... + 132550.

Almost surely, 2168845440 is an apocalyptic number.

168845440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168845440 is an abundant number, since it is smaller than the sum of its proper divisors (234802220).

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

168845440 is an equidigital number, since it uses as much as digits as its factorization.

168845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263840 (or 263828 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 168845440 is about 12994.0540248223. The cubic root of 168845440 is about 552.7088841150.

The spelling of 168845440 in words is "one hundred sixty-eight million, eight hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 263821 527642 1055284 1319105 2110568 2638210 4221136 5276420 8442272 10552840 16884544 21105680 33769088 42211360 84422720 168845440