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40909140 = 223251729461
BaseRepresentation
bin1001110000001…
…1100101010100
32211222101210100
42130003211110
540433043030
64020454100
71004502426
oct234034524
984871710
1040909140
1121101708
121184a330
1386245bc
14560c816
1538d1360
hex2703954

40909140 has 144 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 9891840.

The previous prime is 40909139. The next prime is 40909151. The reversal of 40909140 is 4190904.

It can be written as a sum of positive squares in 8 ways, for example, as 324 + 40908816 = 18^2 + 6396^2 .

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 47 ways as a sum of consecutive naturals, for example, 88510 + ... + 88970.

It is an arithmetic number, because the mean of its divisors is an integer number (945945).

Almost surely, 240909140 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 40909140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

40909140 is an abundant number, since it is smaller than the sum of its proper divisors (95306940).

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

40909140 is a wasteful number, since it uses less digits than its factorization.

40909140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 40909140 is about 6396.0253282801. The cubic root of 40909140 is about 344.5668161180.

The spelling of 40909140 in words is "forty million, nine hundred nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 145 153 170 174 180 204 255 261 290 306 340 348 435 461 493 510 522 580 612 765 870 922 986 1020 1044 1305 1383 1479 1530 1740 1844 1972 2305 2465 2610 2766 2958 3060 4149 4437 4610 4930 5220 5532 5916 6915 7395 7837 8298 8874 9220 9860 13369 13830 14790 15674 16596 17748 20745 22185 23511 26738 27660 29580 31348 39185 40107 41490 44370 47022 53476 66845 70533 78370 80214 82980 88740 94044 117555 120321 133690 141066 156740 160428 200535 227273 235110 240642 267380 282132 352665 401070 454546 470220 481284 601605 681819 705330 802140 909092 1136365 1203210 1363638 1410660 2045457 2272730 2406420 2727276 3409095 4090914 4545460 6818190 8181828 10227285 13636380 20454570 40909140