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122705064 = 23333731523
BaseRepresentation
bin1110101000001…
…01010010101000
322112220001201000
413110011102220
5222403030224
620101555000
73016655466
oct724052250
9275801630
10122705064
116329a149
1235115a60
131c563261
1412421836
15ab8c0c9
hex75054a8

122705064 has 64 divisors (see below), whose sum is σ = 341985600. Its totient is φ = 40765248.

The previous prime is 122705053. The next prime is 122705083. The reversal of 122705064 is 460507221.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 79807 + ... + 81329.

It is an arithmetic number, because the mean of its divisors is an integer number (5343525).

Almost surely, 2122705064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122705064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170992800).

122705064 is an abundant number, since it is smaller than the sum of its proper divisors (219280536).

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

122705064 is a wasteful number, since it uses less digits than its factorization.

122705064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 122705064 is about 11077.2317841598. The cubic root of 122705064 is about 496.9211658066.

The spelling of 122705064 in words is "one hundred twenty-two million, seven hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 373 746 1119 1492 1523 2238 2984 3046 3357 4476 4569 6092 6714 8952 9138 10071 12184 13428 13707 18276 20142 26856 27414 36552 40284 41121 54828 80568 82242 109656 164484 328968 568079 1136158 1704237 2272316 3408474 4544632 5112711 6816948 10225422 13633896 15338133 20450844 30676266 40901688 61352532 122705064