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40105530 = 234567739
BaseRepresentation
bin1001100011111…
…1011000111010
32210110120110000
42120333120322
540231334110
63551333430
7664614513
oct230773072
983416400
1040105530
1120702973
1211521276
1384028aa
14547da0a
1537c31c0
hex263f63a

40105530 has 80 divisors (see below), whose sum is σ = 109596960. Its totient is φ = 10520928.

The previous prime is 40105489. The next prime is 40105553. The reversal of 40105530 is 3550104.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53901 + ... + 54639.

It is an arithmetic number, because the mean of its divisors is an integer number (1369962).

Almost surely, 240105530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40105530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54798480).

40105530 is an abundant number, since it is smaller than the sum of its proper divisors (69491430).

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

40105530 is a wasteful number, since it uses less digits than its factorization.

40105530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 40105530 is about 6332.8927039703. The cubic root of 40105530 is about 342.2956815017.

Adding to 40105530 its reverse (3550104), we get a palindrome (43655634).

It can be divided in two parts, 40 and 105530, that added together give a triangular number (105570 = T459).

The spelling of 40105530 in words is "forty million, one hundred five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 81 90 134 135 162 201 270 335 402 405 603 670 739 810 1005 1206 1478 1809 2010 2217 3015 3618 3695 4434 5427 6030 6651 7390 9045 10854 11085 13302 18090 19953 22170 27135 33255 39906 49513 54270 59859 66510 99026 99765 119718 148539 199530 247565 297078 299295 445617 495130 598590 742695 891234 1336851 1485390 2228085 2673702 4010553 4456170 6684255 8021106 13368510 20052765 40105530