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168047460 = 22345722973
BaseRepresentation
bin10100000010000…
…11001101100100
3102201012200210000
422001003031210
5321010004320
624401501300
74110244200
oct1201031544
9381180700
10168047460
11869495a9
1248341830
1328a7a689
1418465b00
15eb46c90
hexa043364

168047460 has 360 divisors, whose sum is σ = 643076280. Its totient is φ = 36578304.

The previous prime is 168047443. The next prime is 168047461. The reversal of 168047460 is 64740861.

It can be written as a sum of positive squares in 4 ways, for example, as 21734244 + 146313216 = 4662^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (168047461) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2301984 + ... + 2302056.

It is an arithmetic number, because the mean of its divisors is an integer number (1786323).

Almost surely, 2168047460 is an apocalyptic number.

168047460 is a gapful number since it is divisible by the number (10) 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 168047460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321538140).

168047460 is an abundant number, since it is smaller than the sum of its proper divisors (475028820).

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

168047460 is a wasteful number, since it uses less digits than its factorization.

168047460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 168047460 is about 12963.3120767804. The cubic root of 168047460 is about 551.8367901228.

The spelling of 168047460 in words is "one hundred sixty-eight million, forty-seven thousand, four hundred sixty".