Search a number
-
+
246072240 = 24325675101
BaseRepresentation
bin11101010101011…
…00001110110000
3122011000202122200
432222230032300
51000443302430
640230103200
76045402531
oct1652541660
9564022580
10246072240
111169a0797
126a4aab00
133bc9899b
1424976688
151690a460
hexeaac3b0

246072240 has 120 divisors (see below), whose sum is σ = 838891248. Its totient is φ = 64627200.

The previous prime is 246072217. The next prime is 246072247. The reversal of 246072240 is 42270642.

It is a happy number.

246072240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (246072247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45690 + ... + 50790.

Almost surely, 2246072240 is an apocalyptic number.

246072240 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 246072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419445624).

246072240 is an abundant number, since it is smaller than the sum of its proper divisors (592819008).

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

246072240 is a wasteful number, since it uses less digits than its factorization.

246072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 246072240 is about 15686.6898994020. The cubic root of 246072240 is about 626.6439833850.

The spelling of 246072240 in words is "two hundred forty-six million, seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 5101 5360 6030 8040 9648 10202 12060 15303 16080 20404 24120 25505 30606 40808 45909 48240 51010 61212 76515 81616 91818 102020 122424 153030 183636 204040 229545 244848 306060 341767 367272 408080 459090 612120 683534 734544 918180 1025301 1224240 1367068 1708835 1836360 2050602 2734136 3075903 3417670 3672720 4101204 5126505 5468272 6151806 6835340 8202408 10253010 12303612 13670680 15379515 16404816 20506020 24607224 27341360 30759030 41012040 49214448 61518060 82024080 123036120 246072240