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247793020 = 225175313751
BaseRepresentation
bin11101100010100…
…00010101111100
3122021021012010021
432301100111330
51001413334040
640331021524
76066130426
oct1661202574
9567235107
10247793020
11117966622
126ab9a8a4
133c44bcb7
1424ca3816
1516b4a24a
hexec5057c

247793020 has 48 divisors (see below), whose sum is σ = 561411648. Its totient is φ = 91520000.

The previous prime is 247793017. The next prime is 247793027. The reversal of 247793020 is 20397742.

247793020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2477930202 = 122802761521440800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247793027) 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, 11145 + ... + 24895.

It is an arithmetic number, because the mean of its divisors is an integer number (11696076).

Almost surely, 2247793020 is an apocalyptic number.

247793020 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 247793020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280705824).

247793020 is an abundant number, since it is smaller than the sum of its proper divisors (313618628).

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

247793020 is a wasteful number, since it uses less digits than its factorization.

247793020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13830 (or 13828 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 247793020 is about 15741.4427547160. The cubic root of 247793020 is about 628.1012960866.

The spelling of 247793020 in words is "two hundred forty-seven million, seven hundred ninety-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 13751 18020 27502 55004 68755 137510 233767 275020 467534 728803 935068 1168835 1457606 2337670 2915212 3644015 4675340 7288030 12389651 14576060 24779302 49558604 61948255 123896510 247793020