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5066600 = 2352721147
BaseRepresentation
bin10011010100111101101000
3100112102001212
4103110331220
52244112400
6300332252
761031300
oct23247550
910472055
105066600
112950680
121844088
1310851b6
1495c600
156a1335
hex4d4f68

5066600 has 144 divisors (see below), whose sum is σ = 15266880. Its totient is φ = 1545600.

The previous prime is 5066587. The next prime is 5066603. The reversal of 5066600 is 66605.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5066603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107777 + ... + 107823.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

Almost surely, 25066600 is an apocalyptic number.

5066600 is a gapful number since it is divisible by the number (50) 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 5066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633440).

5066600 is an abundant number, since it is smaller than the sum of its proper divisors (10200280).

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

5066600 is a wasteful number, since it uses less digits than its factorization.

5066600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 5066600 is about 2250.9109267139. The cubic root of 5066600 is about 171.7534777357.

The spelling of 5066600 in words is "five million, sixty-six thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 47 49 50 55 56 70 77 88 94 98 100 110 140 154 175 188 196 200 220 235 245 275 280 308 329 350 376 385 392 440 470 490 517 539 550 616 658 700 770 940 980 1034 1078 1100 1175 1225 1316 1400 1540 1645 1880 1925 1960 2068 2156 2200 2303 2350 2450 2585 2632 2695 3080 3290 3619 3850 4136 4312 4606 4700 4900 5170 5390 6580 7238 7700 8225 9212 9400 9800 10340 10780 11515 12925 13160 13475 14476 15400 16450 18095 18424 20680 21560 23030 25333 25850 26950 28952 32900 36190 46060 50666 51700 53900 57575 65800 72380 90475 92120 101332 103400 107800 115150 126665 144760 180950 202664 230300 253330 361900 460600 506660 633325 723800 1013320 1266650 2533300 5066600