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168143680 = 265975417
BaseRepresentation
bin10100000010110…
…10101101000000
3102201101120202201
422001122231000
5321021044210
624403522544
74111124545
oct1201325500
9381346681
10168143680
1186a04921
1248389454
1328ab2403
141848cbcc
15eb6553a
hexa05ab40

168143680 has 56 divisors (see below), whose sum is σ = 404594568. Its totient is φ = 66551808.

The previous prime is 168143629. The next prime is 168143683. The reversal of 168143680 is 86341861.

168143680 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 4 ways, for example, as 389376 + 167754304 = 624^2 + 12952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168143683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28332 + ... + 33748.

It is an arithmetic number, because the mean of its divisors is an integer number (7224903).

Almost surely, 2168143680 is an apocalyptic number.

168143680 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 168143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202297284).

168143680 is an abundant number, since it is smaller than the sum of its proper divisors (236450888).

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

168143680 is an equidigital number, since it uses as much as digits as its factorization.

168143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 168143680 is about 12967.0227885972. The cubic root of 168143680 is about 551.9420929243.

The spelling of 168143680 in words is "one hundred sixty-eight million, one hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 970 1552 1940 3104 3880 5417 6208 7760 10834 15520 21668 27085 31040 43336 54170 86672 108340 173344 216680 346688 433360 525449 866720 1050898 1733440 2101796 2627245 4203592 5254490 8407184 10508980 16814368 21017960 33628736 42035920 84071840 168143680