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40068800 = 265279317
BaseRepresentation
bin1001100011011…
…0011011000000
32210101201001122
42120312123000
540224200200
63550451412
7664402442
oct230663300
983351048
1040068800
1120688312
1211503b68
1383bbc65
145470492
1537b7385
hex26366c0

40068800 has 84 divisors (see below), whose sum is σ = 100157280. Its totient is φ = 15774720.

The previous prime is 40068799. The next prime is 40068803. The reversal of 40068800 is 886004.

It is a self number, because there is not a number n which added to its sum of digits gives 40068800.

It is not an unprimeable number, because it can be changed into a prime (40068803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126242 + ... + 126558.

Almost surely, 240068800 is an apocalyptic number.

40068800 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 40068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50078640).

40068800 is an abundant number, since it is smaller than the sum of its proper divisors (60088480).

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

40068800 is a wasteful number, since it uses less digits than its factorization.

40068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 40068800 is about 6329.9921011009. The cubic root of 40068800 is about 342.1911542669.

The spelling of 40068800 in words is "forty million, sixty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 158 160 200 316 317 320 395 400 632 634 790 800 1264 1268 1580 1585 1600 1975 2528 2536 3160 3170 3950 5056 5072 6320 6340 7900 7925 10144 12640 12680 15800 15850 20288 25043 25280 25360 31600 31700 50086 50720 63200 63400 100172 101440 125215 126400 126800 200344 250430 253600 400688 500860 507200 626075 801376 1001720 1252150 1602752 2003440 2504300 4006880 5008600 8013760 10017200 20034400 40068800