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40403040 = 2535412053
BaseRepresentation
bin1001101000100…
…0000001100000
32211000200112220
42122020001200
540320344130
64001551040
71000264056
oct232100140
984020486
1040403040
1120896447
1211645480
1384a8132
14551a1d6
153831410
hex2688060

40403040 has 96 divisors (see below), whose sum is σ = 130437216. Its totient is φ = 10506240.

The previous prime is 40403039. The next prime is 40403057. The reversal of 40403040 is 4030404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18654 + ... + 20706.

It is an arithmetic number, because the mean of its divisors is an integer number (1358721).

Almost surely, 240403040 is an apocalyptic number.

40403040 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 40403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65218608).

40403040 is an abundant number, since it is smaller than the sum of its proper divisors (90034176).

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

40403040 is a wasteful number, since it uses less digits than its factorization.

40403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40403040 is about 6356.3385687045. The cubic root of 40403040 is about 343.1400007045.

Adding to 40403040 its reverse (4030404), we get a palindrome (44433444).

The spelling of 40403040 in words is "forty million, four hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2053 2460 3280 3936 4106 4920 6159 6560 8212 9840 10265 12318 16424 19680 20530 24636 30795 32848 41060 49272 61590 65696 82120 84173 98544 123180 164240 168346 197088 246360 252519 328480 336692 420865 492720 505038 673384 841730 985440 1010076 1262595 1346768 1683460 2020152 2525190 2693536 3366920 4040304 5050380 6733840 8080608 10100760 13467680 20201520 40403040