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40059000 = 2332534451
BaseRepresentation
bin1001100011010…
…0000001111000
32210101012121200
42120310001320
540223342000
63550334200
7664332042
oct230640170
983335550
1040059000
1120680a13
12114ba360
1383b7667
14546aa92
1537b4500
hex2634078

40059000 has 96 divisors (see below), whose sum is σ = 135429840. Its totient is φ = 10680000.

The previous prime is 40058999. The next prime is 40059001. The reversal of 40059000 is 95004.

It is an interprime number because it is at equal distance from previous prime (40058999) and next prime (40059001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40059001) 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, 6775 + ... + 11225.

Almost surely, 240059000 is an apocalyptic number.

40059000 is a gapful number since it is divisible by the number (40) 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 40059000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67714920).

40059000 is an abundant number, since it is smaller than the sum of its proper divisors (95370840).

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

40059000 is a wasteful number, since it uses less digits than its factorization.

40059000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 40059000 is about 6329.2179611702. The cubic root of 40059000 is about 342.1632543652.

The spelling of 40059000 in words is "forty million, fifty-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4451 4500 8902 9000 13353 17804 22255 26706 35608 40059 44510 53412 66765 80118 89020 106824 111275 133530 160236 178040 200295 222550 267060 320472 333825 400590 445100 534120 556375 667650 801180 890200 1001475 1112750 1335300 1602360 1669125 2002950 2225500 2670600 3338250 4005900 4451000 5007375 6676500 8011800 10014750 13353000 20029500 40059000