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168425640 = 233251992351
BaseRepresentation
bin10100000100111…
…11100010101000
3102201220220112200
422002133202220
5321104110030
624413540200
74113410565
oct1202374250
9381826480
10168425640
1187087749
12484a4660
1328b80856
141852386c
15ebbdd60
hexa09f8a8

168425640 has 96 divisors (see below), whose sum is σ = 550368000. Its totient is φ = 44668800.

The previous prime is 168425629. The next prime is 168425641. The reversal of 168425640 is 46524861.

168425640 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 2 + 5 + 640 = 666.

It is a super-3 number, since 3×1684256403 (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 168425595 and 168425604.

It is not an unprimeable number, because it can be changed into a prime (168425641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70465 + ... + 72815.

It is an arithmetic number, because the mean of its divisors is an integer number (5733000).

Almost surely, 2168425640 is an apocalyptic number.

168425640 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 168425640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184000).

168425640 is an abundant number, since it is smaller than the sum of its proper divisors (381942360).

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

168425640 is a wasteful number, since it uses less digits than its factorization.

168425640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 168425640 is about 12977.8904294959. The cubic root of 168425640 is about 552.2504377161.

The spelling of 168425640 in words is "one hundred sixty-eight million, four hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 199 360 398 597 796 995 1194 1592 1791 1990 2351 2388 2985 3582 3980 4702 4776 5970 7053 7164 7960 8955 9404 11755 11940 14106 14328 17910 18808 21159 23510 23880 28212 35265 35820 42318 47020 56424 70530 71640 84636 94040 105795 141060 169272 211590 282120 423180 467849 846360 935698 1403547 1871396 2339245 2807094 3742792 4210641 4678490 5614188 7017735 8421282 9356980 11228376 14035470 16842564 18713960 21053205 28070940 33685128 42106410 56141880 84212820 168425640