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5609240 = 2357132367
BaseRepresentation
bin10101011001011100011000
3101112222102122
4111121130120
52413443430
6320120412
765451320
oct25313430
911488378
105609240
11319133a
121a66108
1312151a0
14a60280
1575bee5
hex559718

5609240 has 128 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 1672704.

The previous prime is 5609231. The next prime is 5609243. The reversal of 5609240 is 429065.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

5609240 is a modest number, since divided by 9240 gives 560 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5609243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 83687 + ... + 83753.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 25609240 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 5609240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

5609240 is an abundant number, since it is smaller than the sum of its proper divisors (10841320).

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

5609240 is a wasteful number, since it uses less digits than its factorization.

5609240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5609240 is about 2368.3834149056. The cubic root of 5609240 is about 177.6784161197.

The spelling of 5609240 in words is "five million, six hundred nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 67 70 91 92 104 115 130 134 140 161 182 184 230 260 268 280 299 322 335 364 455 460 469 520 536 598 644 670 728 805 871 910 920 938 1196 1288 1340 1495 1541 1610 1742 1820 1876 2093 2345 2392 2680 2990 3082 3220 3484 3640 3752 4186 4355 4690 5980 6097 6164 6440 6968 7705 8372 8710 9380 10465 10787 11960 12194 12328 15410 16744 17420 18760 20033 20930 21574 24388 30485 30820 34840 40066 41860 43148 48776 53935 60970 61640 80132 83720 86296 100165 107870 121940 140231 160264 200330 215740 243880 280462 400660 431480 560924 701155 801320 1121848 1402310 2804620 5609240