Search a number
-
+
4266120 = 233573487
BaseRepresentation
bin10000010001100010001000
322000202000110
4100101202020
52043003440
6231234320
751155445
oct20214210
98022013
104266120
112454221
1215189a0
13b64a41
147d09cc
15594080
hex411888

4266120 has 64 divisors (see below), whose sum is σ = 13000320. Its totient is φ = 1119744.

The previous prime is 4266061. The next prime is 4266149. The reversal of 4266120 is 216624.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8517 + ... + 9003.

It is an arithmetic number, because the mean of its divisors is an integer number (203130).

Almost surely, 24266120 is an apocalyptic number.

4266120 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 4266120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500160).

4266120 is an abundant number, since it is smaller than the sum of its proper divisors (8734200).

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

4266120 is a wasteful number, since it uses less digits than its factorization.

4266120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4266120 is about 2065.4587868074. The cubic root of 4266120 is about 162.1851259672.

The spelling of 4266120 in words is "four million, two hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 487 584 730 876 974 1095 1460 1461 1752 1948 2190 2435 2920 2922 3896 4380 4870 5844 7305 8760 9740 11688 14610 19480 29220 35551 58440 71102 106653 142204 177755 213306 284408 355510 426612 533265 711020 853224 1066530 1422040 2133060 4266120