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5141880 = 23355232
BaseRepresentation
bin10011100111010101111000
3100200020100000
4103213111320
52304020010
6302113000
761463622
oct23472570
910606300
105141880
1129a2197
12187b760
1310b0543
1497bc12
156b87c0
hex4e7578

5141880 has 144 divisors (see below), whose sum is σ = 18116280. Its totient is φ = 1311552.

The previous prime is 5141869. The next prime is 5141921. The reversal of 5141880 is 881415.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 223549 + ... + 223571.

Almost surely, 25141880 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 5141880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9058140).

5141880 is an abundant number, since it is smaller than the sum of its proper divisors (12974400).

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

5141880 is a wasteful number, since it uses less digits than its factorization.

5141880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 5141880 is about 2267.5713880714. The cubic root of 5141880 is about 172.5999420849.

The spelling of 5141880 in words is "five million, one hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 243 270 276 324 345 360 405 414 460 486 529 540 552 621 648 690 810 828 920 972 1035 1058 1080 1215 1242 1380 1587 1620 1656 1863 1944 2070 2116 2430 2484 2645 2760 3105 3174 3240 3726 4140 4232 4761 4860 4968 5290 5589 6210 6348 7452 7935 8280 9315 9522 9720 10580 11178 12420 12696 14283 14904 15870 18630 19044 21160 22356 23805 24840 27945 28566 31740 37260 38088 42849 44712 47610 55890 57132 63480 71415 74520 85698 95220 111780 114264 128547 142830 171396 190440 214245 223560 257094 285660 342792 428490 514188 571320 642735 856980 1028376 1285470 1713960 2570940 5141880