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481140 = 2237511
BaseRepresentation
bin1110101011101110100
3220110000000
41311131310
5110344030
614151300
74042512
oct1653564
9813000
10481140
112a9540
121b2530
1313acca
14c74b2
1597860
hex75774

481140 has 96 divisors (see below), whose sum is σ = 1653120. Its totient is φ = 116640.

The previous prime is 481133. The next prime is 481141. The reversal of 481140 is 41184.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 481140.

It is not an unprimeable number, because it can be changed into a prime (481141) by changing a digit.

481140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43735 + ... + 43745.

It is an arithmetic number, because the mean of its divisors is an integer number (17220).

2481140 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 481140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826560).

481140 is an abundant number, since it is smaller than the sum of its proper divisors (1171980).

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

481140 is a wasteful number, since it uses less digits than its factorization.

481140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 481140 is about 693.6425592479. The cubic root of 481140 is about 78.3592892206.

It can be divided in two parts, 4811 and 40, that added together give a triangular number (4851 = T98).

The spelling of 481140 in words is "four hundred eighty-one thousand, one hundred forty".

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 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 729 810 891 972 990 1188 1215 1458 1485 1620 1782 1980 2187 2430 2673 2916 2970 3564 3645 4374 4455 4860 5346 5940 7290 8019 8748 8910 10692 10935 13365 14580 16038 17820 21870 24057 26730 32076 40095 43740 48114 53460 80190 96228 120285 160380 240570 481140