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491040 = 253251131
BaseRepresentation
bin1110111111000100000
3220221120200
41313320200
5111203130
614305200
74113414
oct1677040
9827520
10491040
11305a20
121b8200
13142674
14cad44
159a760
hex77e20

491040 has 144 divisors (see below), whose sum is σ = 1886976. Its totient is φ = 115200.

The previous prime is 491039. The next prime is 491041. The reversal of 491040 is 40194.

It is an interprime number because it is at equal distance from previous prime (491039) and next prime (491041).

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

It is a super-2 number, since 2×4910402 = 482240563200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (491041) 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, 15825 + ... + 15855.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2491040 is an apocalyptic number.

491040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488).

491040 is an abundant number, since it is smaller than the sum of its proper divisors (1395936).

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

491040 is a wasteful number, since it uses less digits than its factorization.

491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 491040 is about 700.7424633915. The cubic root of 491040 is about 78.8930883024.

It can be divided in two parts, 4910 and 40, that added together give a triangular number (4950 = T99).

The spelling of 491040 in words is "four hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 31 32 33 36 40 44 45 48 55 60 62 66 72 80 88 90 93 96 99 110 120 124 132 144 155 160 165 176 180 186 198 220 240 248 264 279 288 310 330 341 352 360 372 396 440 465 480 495 496 528 558 620 660 682 720 744 792 880 930 990 992 1023 1056 1116 1240 1320 1364 1395 1440 1488 1584 1705 1760 1860 1980 2046 2232 2480 2640 2728 2790 2976 3069 3168 3410 3720 3960 4092 4464 4960 5115 5280 5456 5580 6138 6820 7440 7920 8184 8928 10230 10912 11160 12276 13640 14880 15345 15840 16368 20460 22320 24552 27280 30690 32736 40920 44640 49104 54560 61380 81840 98208 122760 163680 245520 491040