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40104360 = 23325176553
BaseRepresentation
bin1001100011111…
…1000110101000
32210110111211200
42120333012220
540231314420
63551324200
7664611222
oct230770650
983414750
1040104360
1120701aaa
1211520660
1384021ba
14547d412
1537c2b90
hex263f1a8

40104360 has 96 divisors (see below), whose sum is σ = 138027240. Its totient is φ = 10063872.

The previous prime is 40104353. The next prime is 40104397. The reversal of 40104360 is 6340104.

40104360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34082244 + 6022116 = 5838^2 + 2454^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2844 + ... + 9396.

Almost surely, 240104360 is an apocalyptic number.

40104360 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 40104360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69013620).

40104360 is an abundant number, since it is smaller than the sum of its proper divisors (97922880).

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

40104360 is a wasteful number, since it uses less digits than its factorization.

40104360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40104360 is about 6332.8003284487. The cubic root of 40104360 is about 342.2923528681.

Adding to 40104360 its reverse (6340104), we get a palindrome (46444464).

The spelling of 40104360 in words is "forty million, one hundred four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 6553 13106 19659 26212 32765 39318 52424 58977 65530 78636 98295 111401 117954 131060 157272 196590 222802 235908 262120 294885 334203 393180 445604 471816 557005 589770 668406 786360 891208 1002609 1114010 1179540 1336812 1671015 2005218 2228020 2359080 2673624 3342030 4010436 4456040 5013045 6684060 8020872 10026090 13368120 20052180 40104360