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497640 = 2335111329
BaseRepresentation
bin1111001011111101000
3221021122010
41321133220
5111411030
614355520
74141563
oct1713750
9837563
10497640
1130a980
121bbba0
13145680
14cd4da
159c6b0
hex797e8

497640 has 128 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 107520.

The previous prime is 497633. The next prime is 497659. The reversal of 497640 is 46794.

497640 = T1 + T2 + ... + T143.

497640 is a nontrivial binomial coefficient, being equal to C(145, 3).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 497598 and 497607.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 145 × 143 × 24.

It is a congruent number.

It is an unprimeable number.

497640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 143-rd tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17146 + ... + 17174.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2497640 is an apocalyptic number.

497640 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 497640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

497640 is an abundant number, since it is smaller than the sum of its proper divisors (1316760).

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

497640 is a wasteful number, since it uses less digits than its factorization.

497640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 497640 is about 705.4360353710. The cubic root of 497640 is about 79.2449800613.

The spelling of 497640 in words is "four hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 29 30 33 39 40 44 52 55 58 60 65 66 78 87 88 104 110 116 120 130 132 143 145 156 165 174 195 220 232 260 264 286 290 312 319 330 348 377 390 429 435 440 520 572 580 638 660 696 715 754 780 858 870 957 1131 1144 1160 1276 1320 1430 1508 1560 1595 1716 1740 1885 1914 2145 2262 2552 2860 3016 3190 3432 3480 3770 3828 4147 4290 4524 4785 5655 5720 6380 7540 7656 8294 8580 9048 9570 11310 12441 12760 15080 16588 17160 19140 20735 22620 24882 33176 38280 41470 45240 49764 62205 82940 99528 124410 165880 248820 497640