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5506380 = 2235511103
BaseRepresentation
bin10101000000010101001100
3101100202100000
4111000111030
52402201010
6314004300
764542405
oct25002514
911322300
105506380
113121030
121a16690
1311aa419
14a349ac
1573b7c0
hex54054c

5506380 has 144 divisors (see below), whose sum is σ = 19079424. Its totient is φ = 1321920.

The previous prime is 5506363. The next prime is 5506381. The reversal of 5506380 is 836055.

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

It is not an unprimeable number, because it can be changed into a prime (5506381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53409 + ... + 53511.

It is an arithmetic number, because the mean of its divisors is an integer number (132496).

Almost surely, 25506380 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 5506380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9539712).

5506380 is an abundant number, since it is smaller than the sum of its proper divisors (13573044).

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

5506380 is a wasteful number, since it uses less digits than its factorization.

5506380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

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

The square root of 5506380 is about 2346.5677062467. The cubic root of 5506380 is about 176.5856437931.

It can be divided in two parts, 5506 and 380, that added together give a triangular number (5886 = T108).

The spelling of 5506380 in words is "five million, five hundred six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 103 108 110 132 135 162 165 180 198 206 220 243 270 297 309 324 330 396 405 412 486 495 515 540 594 618 660 810 891 927 972 990 1030 1133 1188 1215 1236 1485 1545 1620 1782 1854 1980 2060 2266 2430 2673 2781 2970 3090 3399 3564 3708 4455 4532 4635 4860 5346 5562 5665 5940 6180 6798 8343 8910 9270 10197 10692 11124 11330 13365 13596 13905 16686 16995 17820 18540 20394 22660 25029 26730 27810 30591 33372 33990 40788 41715 50058 50985 53460 55620 61182 67980 83430 91773 100116 101970 122364 125145 152955 166860 183546 203940 250290 275319 305910 367092 458865 500580 550638 611820 917730 1101276 1376595 1835460 2753190 5506380