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126052122 = 23741711031
BaseRepresentation
bin1111000001101…
…10011100011010
322210012010000010
413200312130122
5224232131442
620301422350
73060265620
oct740663432
9283163003
10126052122
1165175909
123626a9b6
1320165871
1412a53510
15b0edb9c
hex783671a

126052122 has 64 divisors (see below), whose sum is σ = 299593728. Its totient is φ = 34608000.

The previous prime is 126052117. The next prime is 126052123. The reversal of 126052122 is 221250621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (126052123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121747 + ... + 122777.

It is an arithmetic number, because the mean of its divisors is an integer number (4681152).

Almost surely, 2126052122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126052122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149796864).

126052122 is an abundant number, since it is smaller than the sum of its proper divisors (173541606).

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

126052122 is a wasteful number, since it uses less digits than its factorization.

126052122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 126052122 is about 11227.2936186777. The cubic root of 126052122 is about 501.3989117749.

The spelling of 126052122 in words is "one hundred twenty-six million, fifty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 71 82 123 142 213 246 287 426 497 574 861 994 1031 1491 1722 2062 2911 2982 3093 5822 6186 7217 8733 14434 17466 20377 21651 40754 42271 43302 61131 73201 84542 122262 126813 146402 219603 253626 295897 439206 512407 591794 887691 1024814 1537221 1775382 3001241 3074442 6002482 9003723 18007446 21008687 42017374 63026061 126052122