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40068900 = 2232522112
BaseRepresentation
bin1001100011011…
…0011100100100
32210101201012100
42120312130210
540224201100
63550452100
7664402644
oct230663444
983351170
1040068900
11206883a3
1211504030
1383bc011
145470524
1537b7400
hex2636724

40068900 has 81 divisors (see below), whose sum is σ = 126191793. Its totient is φ = 10634400.

The previous prime is 40068893. The next prime is 40068913. The reversal of 40068900 is 986004.

The square root of 40068900 is 6330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14424804 + 25644096 = 3798^2 + 5064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 189795 + ... + 190005.

Almost surely, 240068900 is an apocalyptic number.

40068900 is the 6330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40068900

40068900 is an abundant number, since it is smaller than the sum of its proper divisors (86122893).

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

40068900 is a wasteful number, since it uses less digits than its factorization.

40068900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 40068900 is about 342.1914389363.

The spelling of 40068900 in words is "forty million, sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 211 225 300 422 450 633 844 900 1055 1266 1899 2110 2532 3165 3798 4220 5275 6330 7596 9495 10550 12660 15825 18990 21100 31650 37980 44521 47475 63300 89042 94950 133563 178084 189900 222605 267126 400689 445210 534252 667815 801378 890420 1113025 1335630 1602756 2003445 2226050 2671260 3339075 4006890 4452100 6678150 8013780 10017225 13356300 20034450 40068900