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168485900 = 225211891721
BaseRepresentation
bin10100000101011…
…10010000001100
3102202000222012112
422002232100030
5321113022100
624415123152
74114051352
oct1202562014
9382028175
10168485900
1187118a50
12485134b8
1328ba20cb
141853b7d2
15ebd1b35
hexa0ae40c

168485900 has 72 divisors (see below), whose sum is σ = 403567920. Its totient is φ = 60544000.

The previous prime is 168485893. The next prime is 168485909. The reversal of 168485900 is 9584861.

It is not an unprimeable number, because it can be changed into a prime (168485909) 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, 97040 + ... + 98760.

It is an arithmetic number, because the mean of its divisors is an integer number (5605110).

Almost surely, 2168485900 is an apocalyptic number.

168485900 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 168485900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201783960).

168485900 is an abundant number, since it is smaller than the sum of its proper divisors (235082020).

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

168485900 is a wasteful number, since it uses less digits than its factorization.

168485900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 168485900 is about 12980.2118626777. The cubic root of 168485900 is about 552.3162919873.

The spelling of 168485900 in words is "one hundred sixty-eight million, four hundred eighty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 275 356 445 550 890 979 1100 1721 1780 1958 2225 3442 3916 4450 4895 6884 8605 8900 9790 17210 18931 19580 24475 34420 37862 43025 48950 75724 86050 94655 97900 153169 172100 189310 306338 378620 473275 612676 765845 946550 1531690 1684859 1893100 3063380 3369718 3829225 6739436 7658450 8424295 15316900 16848590 33697180 42121475 84242950 168485900