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4963860 = 223251123109
BaseRepresentation
bin10010111011111000010100
3100100012010200
4102323320110
52232320420
6254220500
760122616
oct22737024
910305120
104963860
112890470
1217b4730
13104a4c5
14932db6
15680b90
hex4bbe14

4963860 has 144 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 1140480.

The previous prime is 4963859. The next prime is 4963891. The reversal of 4963860 is 683694.

4963860 = 2732 + 2742 + ... + 3272.

4963860 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45486 + ... + 45594.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

Almost surely, 24963860 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 4963860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648640).

4963860 is an abundant number, since it is smaller than the sum of its proper divisors (12333420).

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

4963860 is a wasteful number, since it uses less digits than its factorization.

4963860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4963860 is about 2227.9721721781. The cubic root of 4963860 is about 170.5846078359.

It can be divided in two parts, 496 and 3860, that added together give a square (4356 = 662).

The spelling of 4963860 in words is "four million, nine hundred sixty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 109 110 115 132 138 165 180 198 207 218 220 230 253 276 327 330 345 396 414 436 460 495 506 545 654 660 690 759 828 981 990 1012 1035 1090 1199 1265 1308 1380 1518 1635 1962 1980 2070 2180 2277 2398 2507 2530 3036 3270 3597 3795 3924 4140 4554 4796 4905 5014 5060 5995 6540 7194 7521 7590 9108 9810 10028 10791 11385 11990 12535 14388 15042 15180 17985 19620 21582 22563 22770 23980 25070 27577 30084 35970 37605 43164 45126 45540 50140 53955 55154 71940 75210 82731 90252 107910 110308 112815 137885 150420 165462 215820 225630 248193 275770 330924 413655 451260 496386 551540 827310 992772 1240965 1654620 2481930 4963860