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40594080 = 2535233677
BaseRepresentation
bin1001101011011…
…0101010100000
32211101101121110
42122312222200
540343002310
64010023320
71002021042
oct232665240
984341543
1040594080
1120a06a2a
1211717b40
138544087
145569a92
15386cd20
hex26b6aa0

40594080 has 96 divisors (see below), whose sum is σ = 133467264. Its totient is φ = 10351616.

The previous prime is 40594061. The next prime is 40594091. The reversal of 40594080 is 8049504.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9202 + ... + 12878.

It is an arithmetic number, because the mean of its divisors is an integer number (1390284).

Almost surely, 240594080 is an apocalyptic number.

40594080 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 40594080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66733632).

40594080 is an abundant number, since it is smaller than the sum of its proper divisors (92873184).

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

40594080 is a wasteful number, since it uses less digits than its factorization.

40594080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 40594080 is about 6371.3483659269. The cubic root of 40594080 is about 343.6799800083.

The spelling of 40594080 in words is "forty million, five hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3677 3680 5520 7354 11031 11040 14708 18385 22062 29416 36770 44124 55155 58832 73540 84571 88248 110310 117664 147080 169142 176496 220620 253713 294160 338284 352992 422855 441240 507426 588320 676568 845710 882480 1014852 1268565 1353136 1691420 1764960 2029704 2537130 2706272 3382840 4059408 5074260 6765680 8118816 10148520 13531360 20297040 40594080