Search a number
-
+
200060040 = 233510715581
BaseRepresentation
bin10111110110010…
…10110010001000
3111221110002210010
423323022302020
5402203410130
631503551520
74646324265
oct1373126210
9457402703
10200060040
11a2a24084
1256bbb5a0
13325a872b
141c7da26c
151286c0b0
hexbecac88

200060040 has 64 divisors (see below), whose sum is σ = 605828160. Its totient is φ = 52847360.

The previous prime is 200060039. The next prime is 200060071. The reversal of 200060040 is 40060002.

200060040 is digitally balanced in base 2, 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 (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 200059998 and 200060025.

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, 5050 + ... + 20630.

It is an arithmetic number, because the mean of its divisors is an integer number (9466065).

Almost surely, 2200060040 is an apocalyptic number.

200060040 is a gapful number since it is divisible by the number (20) 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 200060040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302914080).

200060040 is an abundant number, since it is smaller than the sum of its proper divisors (405768120).

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

200060040 is a wasteful number, since it uses less digits than its factorization.

200060040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15702 (or 15698 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 200060040 is about 14144.2581990008. The cubic root of 200060040 is about 584.8620611294.

The spelling of 200060040 in words is "two hundred million, sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 15581 31162 46743 62324 77905 93486 124648 155810 186972 233715 311620 373944 467430 623240 934860 1667167 1869720 3334334 5001501 6668668 8335835 10003002 13337336 16671670 20006004 25007505 33343340 40012008 50015010 66686680 100030020 200060040