Search a number
-
+
247272240 = 24351013
BaseRepresentation
bin11101011110100…
…01001100110000
3122020021201202010
432233101030300
51001300202430
640311522520
76061531215
oct1657211460
9566251663
10247272240
11117640326
126a989440
133c2c8c47
1424ba9b0c
1516a95cb0
hexebd1330

247272240 has 80 divisors (see below), whose sum is σ = 774209376. Its totient is φ = 65286400.

The previous prime is 247272209. The next prime is 247272253. The reversal of 247272240 is 42272742.

247272240 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 (80).

It is a super-2 number, since 2×2472722402 = 122287121349235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 247272198 and 247272207.

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, 2448190 + ... + 2448290.

Almost surely, 2247272240 is an apocalyptic number.

247272240 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 247272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387104688).

247272240 is an abundant number, since it is smaller than the sum of its proper divisors (526937136).

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

247272240 is an frugal number, since it uses more digits than its factorization.

247272240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 247272240 is about 15724.8923684711. The cubic root of 247272240 is about 627.6609662027.

247272240 divided by its sum of digits (30) gives a cube (8242408 = 2023).

The spelling of 247272240 in words is "two hundred forty-seven million, two hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 10201 12120 20402 24240 30603 40804 51005 61206 81608 102010 122412 153015 163216 204020 244824 306030 408040 489648 612060 816080 1030301 1224120 2060602 2448240 3090903 4121204 5151505 6181806 8242408 10303010 12363612 15454515 16484816 20606020 24727224 30909030 41212040 49454448 61818060 82424080 123636120 247272240