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40967580 = 22351574349
BaseRepresentation
bin1001110001000…
…1110110011100
32212002100221210
42130101312130
540441430310
64022024420
71005135003
oct234216634
985070853
1040967580
1121141605
1211878110
138645094
145625c3a
1538e3820
hex2711d9c

40967580 has 48 divisors (see below), whose sum is σ = 115466400. Its totient is φ = 10852608.

The previous prime is 40967579. The next prime is 40967587. The reversal of 40967580 is 8576904.

40967580 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 2×409675802 = 3356685222112800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40967587) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7246 + ... + 11594.

It is an arithmetic number, because the mean of its divisors is an integer number (2405550).

Almost surely, 240967580 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 40967580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57733200).

40967580 is an abundant number, since it is smaller than the sum of its proper divisors (74498820).

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

40967580 is a wasteful number, since it uses less digits than its factorization.

40967580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 40967580 is about 6400.5921601052. The cubic root of 40967580 is about 344.7308129151.

The spelling of 40967580 in words is "forty million, nine hundred sixty-seven thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4349 4710 8698 9420 13047 17396 21745 26094 43490 52188 65235 86980 130470 260940 682793 1365586 2048379 2731172 3413965 4096758 6827930 8193516 10241895 13655860 20483790 40967580