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122850340 = 22561101997
BaseRepresentation
bin1110101001010…
…00110000100100
322120011102222121
413110220300210
5222422202330
620105035324
73021132154
oct724506044
9276142877
10122850340
1163389308
1235185b44
131c5b4412
141245c764
15abba17a
hex7528c24

122850340 has 48 divisors (see below), whose sum is σ = 265076784. Its totient is φ = 47808000.

The previous prime is 122850289. The next prime is 122850353. The reversal of 122850340 is 43058221.

It can be written as a sum of positive squares in 8 ways, for example, as 1806336 + 121044004 = 1344^2 + 11002^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122722 + ... + 123718.

It is an arithmetic number, because the mean of its divisors is an integer number (5522433).

Almost surely, 2122850340 is an apocalyptic number.

122850340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122850340 is an abundant number, since it is smaller than the sum of its proper divisors (142226444).

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

122850340 is a wasteful number, since it uses less digits than its factorization.

122850340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 122850340 is about 11083.7872588750. The cubic root of 122850340 is about 497.1171975098.

The spelling of 122850340 in words is "one hundred twenty-two million, eight hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 101 122 202 244 305 404 505 610 997 1010 1220 1994 2020 3988 4985 6161 9970 12322 19940 24644 30805 60817 61610 100697 121634 123220 201394 243268 304085 402788 503485 608170 1006970 1216340 2013940 6142517 12285034 24570068 30712585 61425170 122850340