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40158180 = 223558263
BaseRepresentation
bin1001100100110…
…0001111100100
32210120020200000
42121030033210
540240030210
63552421300
7665224146
oct231141744
983506600
1040158180
1120739487
1211547830
13842084a
145494c96
1537d3ac0
hex264c3e4

40158180 has 72 divisors (see below), whose sum is σ = 126340032. Its totient is φ = 10707552.

The previous prime is 40158179. The next prime is 40158193. The reversal of 40158180 is 8185104.

40158180 is a `hidden beast` number, since 4 + 0 + 1 + 581 + 80 = 666.

It is a super-2 number, since 2×401581802 = 3225358841824800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 729 + ... + 8991.

Almost surely, 240158180 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 40158180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63170016).

40158180 is an abundant number, since it is smaller than the sum of its proper divisors (86181852).

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

40158180 is a wasteful number, since it uses less digits than its factorization.

40158180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 40158180 is about 6337.0482087483. The cubic root of 40158180 is about 342.4454030578.

The spelling of 40158180 in words is "forty million, one hundred fifty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 8263 16526 24789 33052 41315 49578 74367 82630 99156 123945 148734 165260 223101 247890 297468 371835 446202 495780 669303 743670 892404 1115505 1338606 1487340 2007909 2231010 2677212 3346515 4015818 4462020 6693030 8031636 10039545 13386060 20079090 40158180