[go: up one dir, main page]

Search a number
-
+
40300064 = 2571719557
BaseRepresentation
bin1001100110111…
…0111000100000
32210211110021222
42121232320200
540304100224
63555434212
7666354620
oct231567040
983743258
1040300064
1120826042
12115b5968
1384702bc
1454d0880
153810b5e
hex266ee20

40300064 has 96 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 15372288.

The previous prime is 40300063. The next prime is 40300079. The reversal of 40300064 is 46000304.

40300064 = T15 + T16 + ... + T622.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (40300063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72074 + ... + 72630.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 240300064 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 40300064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

40300064 is an abundant number, since it is smaller than the sum of its proper divisors (60943456).

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

40300064 is a wasteful number, since it uses less digits than its factorization.

40300064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 40300064 is about 6348.2331400162. The cubic root of 40300064 is about 342.8482301916.

Adding to 40300064 its reverse (46000304), we get a palindrome (86300368).

The spelling of 40300064 in words is "forty million, three hundred thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 304 323 476 532 544 557 608 646 952 1064 1114 1292 1904 2128 2228 2261 2584 3808 3899 4256 4456 4522 5168 7798 8912 9044 9469 10336 10583 15596 17824 18088 18938 21166 31192 36176 37876 42332 62384 66283 72352 74081 75752 84664 124768 132566 148162 151504 169328 179911 265132 296324 303008 338656 359822 530264 592648 719644 1060528 1185296 1259377 1439288 2121056 2370592 2518754 2878576 5037508 5757152 10075016 20150032 40300064