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245856420 = 223251365869
BaseRepresentation
bin11101010011101…
…11100010100100
3122010121210121100
432221313202210
51000414401140
640221320100
76043513365
oct1651674244
9563553540
10245856420
11116863627
126a406030
133bc21694
142491bb6c
15168b6530
hexea778a4

245856420 has 36 divisors (see below), whose sum is σ = 745765020. Its totient is φ = 65561664.

The previous prime is 245856419. The next prime is 245856421. The reversal of 245856420 is 24658542.

It is a happy number.

245856420 is a `hidden beast` number, since 2 + 4 + 5 + 8 + 5 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (245856419) and next prime (245856421).

It can be written as a sum of positive squares in 2 ways, for example, as 174081636 + 71774784 = 13194^2 + 8472^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (245856421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 682755 + ... + 683114.

It is an arithmetic number, because the mean of its divisors is an integer number (20715695).

Almost surely, 2245856420 is an apocalyptic number.

245856420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245856420 is an abundant number, since it is smaller than the sum of its proper divisors (499908600).

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

245856420 is a wasteful number, since it uses less digits than its factorization.

245856420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365884 (or 1365879 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 245856420 is about 15679.8093100650. The cubic root of 245856420 is about 626.4607284429.

The spelling of 245856420 in words is "two hundred forty-five million, eight hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1365869 2731738 4097607 5463476 6829345 8195214 12292821 13658690 16390428 20488035 24585642 27317380 40976070 49171284 61464105 81952140 122928210 245856420