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40755540 = 22357234219
BaseRepresentation
bin1001101101111…
…0000101010100
32211200121002110
42123132011110
540413134130
64013311020
71003262550
oct233360524
984617073
1040755540
1121007271
1211795470
13859c707
1455ac860
1538a0ab0
hex26de154

40755540 has 96 divisors (see below), whose sum is σ = 136120320. Its totient is φ = 8908416.

The previous prime is 40755521. The next prime is 40755553. The reversal of 40755540 is 4555704.

40755540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×407555402 = 3322028081383200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40755498 and 40755507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7551 + ... + 11769.

It is an arithmetic number, because the mean of its divisors is an integer number (1417920).

Almost surely, 240755540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40755540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68060160).

40755540 is an abundant number, since it is smaller than the sum of its proper divisors (95364780).

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

40755540 is a wasteful number, since it uses less digits than its factorization.

40755540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 40755540 is about 6384.0065789440. The cubic root of 40755540 is about 344.1350312687.

The spelling of 40755540 in words is "forty million, seven hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4219 4830 8438 9660 12657 16876 21095 25314 29533 42190 50628 59066 63285 84380 88599 97037 118132 126570 147665 177198 194074 253140 291111 295330 354396 388148 442995 485185 582222 590660 679259 885990 970370 1164444 1358518 1455555 1771980 1940740 2037777 2717036 2911110 3396295 4075554 5822220 6792590 8151108 10188885 13585180 20377770 40755540