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122763080 = 23511279007
BaseRepresentation
bin1110101000100…
…11011101001000
322120000000021202
413110103131020
5222411404310
620103123332
73020316566
oct724233510
9276000252
10122763080
11633297a0
1235143548
131c58379b
1412438a36
15ab9e3a5
hex7513748

122763080 has 32 divisors (see below), whose sum is σ = 301328640. Its totient is φ = 44640960.

The previous prime is 122763073. The next prime is 122763083. The reversal of 122763080 is 80367221.

It is a happy number.

It is a super-2 number, since 2×1227630802 = 30141547622172800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122763083) by changing a digit.

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, 139064 + ... + 139943.

It is an arithmetic number, because the mean of its divisors is an integer number (9416520).

Almost surely, 2122763080 is an apocalyptic number.

122763080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122763080 is an abundant number, since it is smaller than the sum of its proper divisors (178565560).

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

122763080 is a wasteful number, since it uses less digits than its factorization.

122763080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279029 (or 279025 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 122763080 is about 11079.8501794925. The cubic root of 122763080 is about 496.9994696544. Note that the first 3 decimals are identical.

The spelling of 122763080 in words is "one hundred twenty-two million, seven hundred sixty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 279007 558014 1116028 1395035 2232056 2790070 3069077 5580140 6138154 11160280 12276308 15345385 24552616 30690770 61381540 122763080