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40135200 = 2535272389
BaseRepresentation
bin1001100100011…
…0101000100000
32210112002010220
42121012220200
540233311300
63552123040
7665100150
oct231065040
983462126
1040135200
1120723196
1211536480
138413251
14548a760
1537cbda0
hex2646a20

40135200 has 144 divisors (see below), whose sum is σ = 149365440. Its totient is φ = 9169920.

The previous prime is 40135177. The next prime is 40135213. The reversal of 40135200 is 253104.

It is a super-2 number, since 2×401352002 = 3221668558080000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40135200.

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, 15606 + ... + 17994.

It is an arithmetic number, because the mean of its divisors is an integer number (1037260).

Almost surely, 240135200 is an apocalyptic number.

40135200 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 40135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74682720).

40135200 is an abundant number, since it is smaller than the sum of its proper divisors (109230240).

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

40135200 is a wasteful number, since it uses less digits than its factorization.

40135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 40135200 is about 6335.2348022784. The cubic root of 40135200 is about 342.3800706076.

Adding to 40135200 its reverse (253104), we get a palindrome (40388304).

The spelling of 40135200 in words is "forty million, one hundred thirty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2389 2400 2800 3360 4200 4778 5600 7167 8400 9556 11945 14334 16723 16800 19112 23890 28668 33446 35835 38224 47780 50169 57336 59725 66892 71670 76448 83615 95560 100338 114672 119450 133784 143340 167230 179175 191120 200676 229344 238900 250845 267568 286680 334460 358350 382240 401352 418075 477800 501690 535136 573360 668920 716700 802704 836150 955600 1003380 1146720 1254225 1337840 1433400 1605408 1672300 1911200 2006760 2508450 2675680 2866800 3344600 4013520 5016900 5733600 6689200 8027040 10033800 13378400 20067600 40135200