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122566240 = 255766039
BaseRepresentation
bin1110100111000…
…11011001100000
322112122000021101
413103203121200
5222334104430
620055004144
73015536656
oct723433140
9275560241
10122566240
1163204915
1235069654
131c515004
14123c6dd6
15ab60dca
hex74e3660

122566240 has 24 divisors (see below), whose sum is σ = 289563120. Its totient is φ = 49026432.

The previous prime is 122566231. The next prime is 122566259. The reversal of 122566240 is 42665221.

It is a junction number, because it is equal to n+sod(n) for n = 122566199 and 122566208.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 382860 + ... + 383179.

It is an arithmetic number, because the mean of its divisors is an integer number (12065130).

Almost surely, 2122566240 is an apocalyptic number.

122566240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122566240 is an abundant number, since it is smaller than the sum of its proper divisors (166996880).

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

122566240 is an equidigital number, since it uses as much as digits as its factorization.

122566240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766054 (or 766046 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 122566240 is about 11070.9638243470. The cubic root of 122566240 is about 496.7336956415.

It can be divided in two parts, 12256 and 6240, that added together give a square (18496 = 1362).

The spelling of 122566240 in words is "one hundred twenty-two million, five hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 766039 1532078 3064156 3830195 6128312 7660390 12256624 15320780 24513248 30641560 61283120 122566240