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247030820 = 22544927509
BaseRepresentation
bin11101011100101…
…10010000100100
3122012211110120122
432232112100210
51001214441240
640302421112
76056504321
oct1656262044
9565743518
10247030820
11117495a03
126a891798
133c2430aa
1424b45b48
1516a494b5
hexeb96424

247030820 has 24 divisors (see below), whose sum is σ = 519939000. Its totient is φ = 98588672.

The previous prime is 247030811. The next prime is 247030831. The reversal of 247030820 is 28030742.

It can be written as a sum of positive squares in 4 ways, for example, as 2483776 + 244547044 = 1576^2 + 15638^2 .

It is a super-2 number, since 2×2470308202 = 122048452059744800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247030820.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4775 + ... + 22734.

It is an arithmetic number, because the mean of its divisors is an integer number (21664125).

Almost surely, 2247030820 is an apocalyptic number.

247030820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247030820 is an abundant number, since it is smaller than the sum of its proper divisors (272908180).

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

247030820 is a wasteful number, since it uses less digits than its factorization.

247030820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27967 (or 27965 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 247030820 is about 15717.2141297369. The cubic root of 247030820 is about 627.4566310244.

The spelling of 247030820 in words is "two hundred forty-seven million, thirty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 449 898 1796 2245 4490 8980 27509 55018 110036 137545 275090 550180 12351541 24703082 49406164 61757705 123515410 247030820