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40115320 = 2357297211
BaseRepresentation
bin1001100100000…
…1110001111000
32210111001212121
42121001301320
540232142240
63551451024
7664655200
oct231016170
983431777
1040115320
112070a263
1211526a74
13840719b
145483400
1537c604a
hex2641c78

40115320 has 96 divisors (see below), whose sum is σ = 106580880. Its totient is φ = 13547520.

The previous prime is 40115303. The next prime is 40115347. The reversal of 40115320 is 2351104.

It is a junction number, because it is equal to n+sod(n) for n = 40115294 and 40115303.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 190015 + ... + 190225.

Almost surely, 240115320 is an apocalyptic number.

40115320 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 40115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53290440).

40115320 is an abundant number, since it is smaller than the sum of its proper divisors (66465560).

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

40115320 is a wasteful number, since it uses less digits than its factorization.

40115320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 40115320 is about 6333.6656053189. The cubic root of 40115320 is about 342.3235313775.

Adding to 40115320 its reverse (2351104), we get a palindrome (42466424).

The spelling of 40115320 in words is "forty million, one hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 97 98 140 194 196 211 245 280 388 392 422 485 490 679 776 844 970 980 1055 1358 1477 1688 1940 1960 2110 2716 2954 3395 3880 4220 4753 5432 5908 6790 7385 8440 9506 10339 11816 13580 14770 19012 20467 20678 23765 27160 29540 38024 40934 41356 47530 51695 59080 81868 82712 95060 102335 103390 143269 163736 190120 204670 206780 286538 409340 413560 573076 716345 818680 1002883 1146152 1432690 2005766 2865380 4011532 5014415 5730760 8023064 10028830 20057660 40115320