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40068300 = 22352235807
BaseRepresentation
bin1001100011011…
…0010011001100
32210101200101010
42120312103030
540224141200
63550445220
7664401126
oct230662314
983350333
1040068300
11206879a8
1211503810
1383bb96c
145470216
1537b7150
hex26364cc

40068300 has 72 divisors (see below), whose sum is σ = 120992256. Its totient is φ = 10218560.

The previous prime is 40068293. The next prime is 40068361. The reversal of 40068300 is 386004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3997 + ... + 9803.

It is an arithmetic number, because the mean of its divisors is an integer number (1680448).

Almost surely, 240068300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40068300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60496128).

40068300 is an abundant number, since it is smaller than the sum of its proper divisors (80923956).

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

40068300 is a wasteful number, since it uses less digits than its factorization.

40068300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40068300 is about 6329.9526064577. The cubic root of 40068300 is about 342.1897309127.

The spelling of 40068300 in words is "forty million, sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 5807 6900 11614 17421 23228 29035 34842 58070 69684 87105 116140 133561 145175 174210 267122 290350 348420 400683 435525 534244 580700 667805 801366 871050 1335610 1602732 1742100 2003415 2671220 3339025 4006830 6678050 8013660 10017075 13356100 20034150 40068300