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122924052 = 223223314789
BaseRepresentation
bin1110101001110…
…10110000010100
322120022012002200
413110322300110
5222432032202
620110404500
73021560106
oct724726024
9276265080
10122924052
1163429729
1235200730
131c60bb34
141247b576
15abd1e1c
hex753ac14

122924052 has 72 divisors (see below), whose sum is σ = 334763520. Its totient is φ = 37920960.

The previous prime is 122924051. The next prime is 122924071. The reversal of 122924052 is 250429221.

It is a happy number.

It is a super-2 number, since 2×1229240522 = 30220645120197408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122924051) 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 23 ways as a sum of consecutive naturals, for example, 23274 + ... + 28062.

Almost surely, 2122924052 is an apocalyptic number.

122924052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122924052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167381760).

122924052 is an abundant number, since it is smaller than the sum of its proper divisors (211839468).

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

122924052 is a wasteful number, since it uses less digits than its factorization.

122924052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122924052 is about 11087.1119774268. Note that the first 3 decimals coincide. The cubic root of 122924052 is about 497.2166034928.

It can be divided in two parts, 1229 and 24052, that added together give a square (25281 = 1592).

The spelling of 122924052 in words is "one hundred twenty-two million, nine hundred twenty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 4789 6417 8556 9578 12834 14367 19156 25668 28734 43101 57468 86202 110147 148459 172404 220294 296918 330441 440588 445377 593836 660882 890754 991323 1321764 1336131 1781508 1982646 2672262 3414557 3965292 5344524 6829114 10243671 13658228 20487342 30731013 40974684 61462026 122924052