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122793252 = 223127197409
BaseRepresentation
bin1110101000110…
…10110100100100
322120001112200020
413110122310210
5222413341002
620103515140
73020503551
oct724326444
9276045606
10122793252
116334a42a
1235158ab0
131c59443a
1412445a28
15aba82bc
hex751ad24

122793252 has 48 divisors (see below), whose sum is σ = 290949120. Its totient is φ = 40303872.

The previous prime is 122793241. The next prime is 122793259. The reversal of 122793252 is 252397221.

It is not an unprimeable number, because it can be changed into a prime (122793259) 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 15 ways as a sum of consecutive naturals, for example, 300024 + ... + 300432.

It is an arithmetic number, because the mean of its divisors is an integer number (6061440).

Almost surely, 2122793252 is an apocalyptic number.

122793252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122793252 is an abundant number, since it is smaller than the sum of its proper divisors (168155868).

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

122793252 is a wasteful number, since it uses less digits than its factorization.

122793252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 738 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 122793252 is about 11081.2116666004. The cubic root of 122793252 is about 497.0401828712.

The spelling of 122793252 in words is "one hundred twenty-two million, seven hundred ninety-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 127 197 254 381 394 409 508 591 762 788 818 1182 1227 1524 1636 2364 2454 4908 25019 50038 51943 75057 80573 100076 103886 150114 155829 161146 207772 241719 300228 311658 322292 483438 623316 966876 10232771 20465542 30698313 40931084 61396626 122793252