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4973940 = 2233561151
BaseRepresentation
bin10010111110010101110100
3100100200222000
4102332111310
52233131230
6254335300
760164166
oct22762564
910320860
104973940
112897aa4
1217ba530
131051c7a
14936936
15683b60
hex4be574

4973940 has 96 divisors (see below), whose sum is σ = 15832320. Its totient is φ = 1296000.

The previous prime is 4973929. The next prime is 4973959. The reversal of 4973940 is 493794.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4973895 and 4973904.

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 31 ways as a sum of consecutive naturals, for example, 32865 + ... + 33015.

It is an arithmetic number, because the mean of its divisors is an integer number (164920).

Almost surely, 24973940 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 4973940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160).

4973940 is an abundant number, since it is smaller than the sum of its proper divisors (10858380).

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

4973940 is a wasteful number, since it uses less digits than its factorization.

4973940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4973940 is about 2230.2331716661. The cubic root of 4973940 is about 170.6999972202.

The spelling of 4973940 in words is "four million, nine hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 151 180 183 244 270 302 305 366 453 540 549 604 610 732 755 906 915 1098 1220 1359 1510 1647 1812 1830 2196 2265 2718 2745 3020 3294 3660 4077 4530 5436 5490 6588 6795 8154 8235 9060 9211 10980 13590 16308 16470 18422 20385 27180 27633 32940 36844 40770 46055 55266 81540 82899 92110 110532 138165 165798 184220 248697 276330 331596 414495 497394 552660 828990 994788 1243485 1657980 2486970 4973940