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40155000 = 233542677
BaseRepresentation
bin1001100100101…
…1011101111000
32210120002022020
42121023131320
540234430000
63552354440
7665211654
oct231133570
983502266
1040155000
1120737056
1211545a20
13841c272
145493a64
1537d2ba0
hex264b778

40155000 has 80 divisors (see below), whose sum is σ = 125491080. Its totient is φ = 10704000.

The previous prime is 40154981. The next prime is 40155007. The reversal of 40155000 is 55104.

It is a super-2 number, since 2×401550002 = 3224848050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40155007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13662 + ... + 16338.

Almost surely, 240155000 is an apocalyptic number.

40155000 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 40155000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62745540).

40155000 is an abundant number, since it is smaller than the sum of its proper divisors (85336080).

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

40155000 is a wasteful number, since it uses less digits than its factorization.

40155000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 40155000 is about 6336.7972983203. The cubic root of 40155000 is about 342.4363637610.

The spelling of 40155000 in words is "forty million, one hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 2677 3000 3750 5000 5354 7500 8031 10708 13385 15000 16062 21416 26770 32124 40155 53540 64248 66925 80310 107080 133850 160620 200775 267700 321240 334625 401550 535400 669250 803100 1003875 1338500 1606200 1673125 2007750 2677000 3346250 4015500 5019375 6692500 8031000 10038750 13385000 20077500 40155000