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5655540 = 22351121941
BaseRepresentation
bin10101100100101111110100
3101122022221110
4111210233310
52421434130
6321115020
766033312
oct25445764
911568843
105655540
113213100
121a88a70
131230297
14a730b2
1576aab0
hex564bf4

5655540 has 144 divisors (see below), whose sum is σ = 18768960. Its totient is φ = 1267200.

The previous prime is 5655527. The next prime is 5655541. The reversal of 5655540 is 455565.

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 = 5655498 and 5655507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5655541) 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 47 ways as a sum of consecutive naturals, for example, 137920 + ... + 137960.

It is an arithmetic number, because the mean of its divisors is an integer number (130340).

Almost surely, 25655540 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 5655540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384480).

5655540 is an abundant number, since it is smaller than the sum of its proper divisors (13113420).

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

5655540 is a wasteful number, since it uses less digits than its factorization.

5655540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 5655540 is about 2378.1379270345. The cubic root of 5655540 is about 178.1659438043.

It can be divided in two parts, 565 and 5540, that added together give a triangular number (6105 = T110).

The spelling of 5655540 in words is "five million, six hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 41 44 55 57 60 66 76 82 95 110 114 121 123 132 164 165 190 205 209 220 228 242 246 285 330 363 380 410 418 451 484 492 570 605 615 627 660 726 779 820 836 902 1045 1140 1210 1230 1254 1353 1452 1558 1804 1815 2090 2255 2299 2337 2420 2460 2508 2706 3116 3135 3630 3895 4180 4510 4598 4674 4961 5412 6270 6765 6897 7260 7790 8569 9020 9196 9348 9922 11495 11685 12540 13530 13794 14883 15580 17138 19844 22990 23370 24805 25707 27060 27588 29766 34276 34485 42845 45980 46740 49610 51414 59532 68970 74415 85690 94259 99220 102828 128535 137940 148830 171380 188518 257070 282777 297660 377036 471295 514140 565554 942590 1131108 1413885 1885180 2827770 5655540