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40105650 = 235213131157
BaseRepresentation
bin1001100011111…
…1011010110010
32210110120121110
42120333122302
540231340100
63551334150
7664615044
oct230773262
983416543
1040105650
1120702a72
1211521356
138402970
14547da94
1537c3250
hex263f6b2

40105650 has 96 divisors (see below), whose sum is σ = 108618048. Its totient is φ = 9734400.

The previous prime is 40105643. The next prime is 40105651. The reversal of 40105650 is 5650104.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40105651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255372 + ... + 255528.

It is an arithmetic number, because the mean of its divisors is an integer number (1131438).

Almost surely, 240105650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40105650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54309024).

40105650 is an abundant number, since it is smaller than the sum of its proper divisors (68512398).

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

40105650 is a wasteful number, since it uses less digits than its factorization.

40105650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 40105650 is about 6332.9021783066. The cubic root of 40105650 is about 342.2960228963.

Adding to 40105650 its reverse (5650104), we get a palindrome (45755754).

It can be divided in two parts, 40105 and 650, that added together give a triangular number (40755 = T285).

The spelling of 40105650 in words is "forty million, one hundred five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 131 150 157 195 262 314 325 390 393 471 650 655 785 786 942 975 1310 1570 1703 1950 1965 2041 2355 3275 3406 3925 3930 4082 4710 5109 6123 6550 7850 8515 9825 10205 10218 11775 12246 17030 19650 20410 20567 23550 25545 30615 41134 42575 51025 51090 61230 61701 85150 102050 102835 123402 127725 153075 205670 255450 267371 306150 308505 514175 534742 617010 802113 1028350 1336855 1542525 1604226 2673710 3085050 4010565 6684275 8021130 13368550 20052825 40105650