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40130370 = 23357171249
BaseRepresentation
bin1001100100010…
…1011101000010
32210111211112000
42121011131002
540233132440
63552044430
7665050110
oct231053502
983454460
1040130370
112071a5a5
1211533716
138410ca7
145488ab0
1537ca730
hex2645742

40130370 has 128 divisors (see below), whose sum is σ = 129600000. Its totient is φ = 8626176.

The previous prime is 40130359. The next prime is 40130371. The reversal of 40130370 is 7303104.

It is a super-2 number, since 2×401303702 = 3220893192673800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130371) 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 63 ways as a sum of consecutive naturals, for example, 31506 + ... + 32754.

It is an arithmetic number, because the mean of its divisors is an integer number (1012500).

Almost surely, 240130370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40130370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800000).

40130370 is an abundant number, since it is smaller than the sum of its proper divisors (89469630).

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

40130370 is a wasteful number, since it uses less digits than its factorization.

40130370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 40130370 is about 6334.8535894683. The cubic root of 40130370 is about 342.3663356809.

Adding to 40130370 its reverse (7303104), we get a palindrome (47433474).

The spelling of 40130370 in words is "forty million, one hundred thirty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1249 1530 1785 1890 2142 2295 2498 3213 3570 3747 4590 5355 6245 6426 7494 8743 10710 11241 12490 16065 17486 18735 21233 22482 26229 32130 33723 37470 42466 43715 52458 56205 63699 67446 78687 87430 106165 112410 127398 131145 148631 157374 168615 191097 212330 236061 262290 297262 318495 337230 382194 393435 445893 472122 573291 636990 743155 786870 891786 955485 1146582 1180305 1337679 1486310 1910970 2229465 2360610 2675358 2866455 4013037 4458930 5732910 6688395 8026074 13376790 20065185 40130370