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40146705 = 3353153181
BaseRepresentation
bin1001100100100…
…1011100010001
32210112122221000
42121021130101
540234143310
63552252213
7665145534
oct231113421
983478830
1040146705
11207308a5
1211541069
138418561
145490a1b
1537d04c0
hex2649711

40146705 has 64 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 20217600.

The previous prime is 40146683. The next prime is 40146719. The reversal of 40146705 is 50764104.

It is not a de Polignac number, because 40146705 - 26 = 40146641 is a prime.

It is a super-2 number, since 2×401467052 = 3223515844714050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 221715 + ... + 221895.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 240146705 is an apocalyptic number.

40146705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40146705 is a deficient number, since it is larger than the sum of its proper divisors (35332335).

40146705 is a wasteful number, since it uses less digits than its factorization.

40146705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40146705 is about 6336.1427540736. The cubic root of 40146705 is about 342.4127825943.

The spelling of 40146705 in words is "forty million, one hundred forty-six thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 31 45 53 93 135 155 159 181 265 279 465 477 543 795 837 905 1395 1431 1629 1643 2385 2715 4185 4887 4929 5611 7155 8145 8215 9593 14787 16833 24435 24645 28055 28779 44361 47965 50499 73935 84165 86337 143895 151497 221805 252495 259011 297383 431685 757485 892149 1295055 1486915 2676447 4460745 8029341 13382235 40146705