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5606040 = 23351131137
BaseRepresentation
bin10101011000101010011000
3101112211001010
4111120222120
52413343130
6320053520
765436066
oct25305230
911484033
105606040
1131899a0
121a642a0
1312138ab
14a5d036
1575b0b0
hex558a98

5606040 has 128 divisors (see below), whose sum is σ = 19077120. Its totient is φ = 1305600.

The previous prime is 5606033. The next prime is 5606047. The reversal of 5606040 is 406065.

5606040 = T307 + T308 + ... + T396.

It is an interprime number because it is at equal distance from previous prime (5606033) and next prime (5606047).

It is a junction number, because it is equal to n+sod(n) for n = 5605998 and 5606016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5606047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40852 + ... + 40988.

It is an arithmetic number, because the mean of its divisors is an integer number (149040).

Almost surely, 25606040 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 5606040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538560).

5606040 is an abundant number, since it is smaller than the sum of its proper divisors (13471080).

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

5606040 is a wasteful number, since it uses less digits than its factorization.

5606040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5606040 is about 2367.7077522363. The cubic root of 5606040 is about 177.6446219345.

Multiplying 5606040 by its sum of digits (21), we get a triangular number (117726840 = T15344).

The spelling of 5606040 in words is "five million, six hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 137 155 165 186 220 248 264 274 310 330 341 372 411 440 465 548 620 660 682 685 744 822 930 1023 1096 1240 1320 1364 1370 1507 1644 1705 1860 2046 2055 2728 2740 3014 3288 3410 3720 4092 4110 4247 4521 5115 5480 6028 6820 7535 8184 8220 8494 9042 10230 12056 12741 13640 15070 16440 16988 18084 20460 21235 22605 25482 30140 33976 36168 40920 42470 45210 46717 50964 60280 63705 84940 90420 93434 101928 127410 140151 169880 180840 186868 233585 254820 280302 373736 467170 509640 560604 700755 934340 1121208 1401510 1868680 2803020 5606040