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5405940 = 223454771
BaseRepresentation
bin10100100111110011110100
3101011122120000
4110213303310
52340442230
6311511300
763643521
oct24476364
911148500
105405940
113062621
121988530
1311737a7
14a0a148
1571bb60
hex527cf4

5405940 has 120 divisors (see below), whose sum is σ = 17563392. Its totient is φ = 1391040.

The previous prime is 5405923. The next prime is 5405969. The reversal of 5405940 is 495045.

It is a Harshad number since it is a multiple of its sum of digits (27).

5405940 is a modest number, since divided by 5940 gives 540 as remainder.

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 39 ways as a sum of consecutive naturals, for example, 76105 + ... + 76175.

Almost surely, 25405940 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 5405940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781696).

5405940 is an abundant number, since it is smaller than the sum of its proper divisors (12157452).

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

5405940 is a wasteful number, since it uses less digits than its factorization.

5405940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5405940 is about 2325.0677409486. The cubic root of 5405940 is about 175.5053691103.

The spelling of 5405940 in words is "five million, four hundred five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 71 81 90 94 108 135 141 142 162 180 188 213 235 270 282 284 324 355 405 423 426 470 540 564 639 705 710 810 846 852 940 1065 1269 1278 1410 1420 1620 1692 1917 2115 2130 2538 2556 2820 3195 3337 3807 3834 4230 4260 5076 5751 6345 6390 6674 7614 7668 8460 9585 10011 11502 12690 12780 13348 15228 16685 19035 19170 20022 23004 25380 28755 30033 33370 38070 38340 40044 50055 57510 60066 66740 76140 90099 100110 115020 120132 150165 180198 200220 270297 300330 360396 450495 540594 600660 900990 1081188 1351485 1801980 2702970 5405940