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5510880 = 253254389
BaseRepresentation
bin10101000001011011100000
3101100222111200
4111001123200
52402322010
6314041200
764561464
oct25013340
911328450
105510880
113124451
121a19200
1311ac49b
14a364a4
1573ccc0
hex5416e0

5510880 has 144 divisors (see below), whose sum is σ = 19459440. Its totient is φ = 1419264.

The previous prime is 5510849. The next prime is 5510881. The reversal of 5510880 is 880155.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5510881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61876 + ... + 61964.

It is an arithmetic number, because the mean of its divisors is an integer number (135135).

Almost surely, 25510880 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 5510880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729720).

5510880 is an abundant number, since it is smaller than the sum of its proper divisors (13948560).

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

5510880 is a wasteful number, since it uses less digits than its factorization.

5510880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 5510880 is about 2347.5263576795. The cubic root of 5510880 is about 176.6337346155.

The spelling of 5510880 in words is "five million, five hundred ten thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 89 90 96 120 129 144 160 172 178 180 215 240 258 267 288 344 356 360 387 430 445 480 516 534 645 688 712 720 774 801 860 890 1032 1068 1290 1335 1376 1424 1440 1548 1602 1720 1780 1935 2064 2136 2580 2670 2848 3096 3204 3440 3560 3827 3870 4005 4128 4272 5160 5340 6192 6408 6880 7120 7654 7740 8010 8544 10320 10680 11481 12384 12816 14240 15308 15480 16020 19135 20640 21360 22962 25632 30616 30960 32040 34443 38270 42720 45924 57405 61232 61920 64080 68886 76540 91848 114810 122464 128160 137772 153080 172215 183696 229620 275544 306160 344430 367392 459240 551088 612320 688860 918480 1102176 1377720 1836960 2755440 5510880