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4973640 = 2335731191
BaseRepresentation
bin10010111110010001001000
3100100200112220
4102332101020
52233124030
6254334040
760163260
oct22762110
910320486
104973640
112897851
1217ba320
131051aa9
149367a0
15683a10
hex4be448

4973640 has 128 divisors (see below), whose sum is σ = 17694720. Its totient is φ = 1094400.

The previous prime is 4973627. The next prime is 4973653. The reversal of 4973640 is 463794.

It is an interprime number because it is at equal distance from previous prime (4973627) and next prime (4973653).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25945 + ... + 26135.

It is an arithmetic number, because the mean of its divisors is an integer number (138240).

Almost surely, 24973640 is an apocalyptic number.

4973640 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 4973640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847360).

4973640 is an abundant number, since it is smaller than the sum of its proper divisors (12721080).

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

4973640 is a wasteful number, since it uses less digits than its factorization.

4973640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 4973640 is about 2230.1659131105. The cubic root of 4973640 is about 170.6965652642.

The spelling of 4973640 in words is "four million, nine hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 191 210 217 248 280 310 372 382 420 434 465 573 620 651 744 764 840 868 930 955 1085 1146 1240 1302 1337 1528 1736 1860 1910 2170 2292 2604 2674 2865 3255 3720 3820 4011 4340 4584 5208 5348 5730 5921 6510 6685 7640 8022 8680 10696 11460 11842 13020 13370 16044 17763 20055 22920 23684 26040 26740 29605 32088 35526 40110 41447 47368 53480 59210 71052 80220 82894 88815 118420 124341 142104 160440 165788 177630 207235 236840 248682 331576 355260 414470 497364 621705 710520 828940 994728 1243410 1657880 2486820 4973640