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126065052 = 22331816449
BaseRepresentation
bin1111000001110…
…01100110011100
322210012202202000
413200321212130
5224233040202
620302002300
73060351411
oct740714634
9283182660
10126065052
11651845a3
1236276390
132016b709
1412a58108
15b10291c
hex783999c

126065052 has 48 divisors (see below), whose sum is σ = 328692000. Its totient is φ = 41783040.

The previous prime is 126065041. The next prime is 126065053. The reversal of 126065052 is 250560621.

126065052 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 650 + 5 + 2 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126065053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16324 + ... + 22772.

It is an arithmetic number, because the mean of its divisors is an integer number (6847750).

Almost surely, 2126065052 is an apocalyptic number.

126065052 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 126065052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164346000).

126065052 is an abundant number, since it is smaller than the sum of its proper divisors (202626948).

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

126065052 is a wasteful number, since it uses less digits than its factorization.

126065052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6643 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 126065052 is about 11227.8694327998. The cubic root of 126065052 is about 501.4160551231.

The spelling of 126065052 in words is "one hundred twenty-six million, sixty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1629 2172 3258 4887 6449 6516 9774 12898 19347 19548 25796 38694 58041 77388 116082 174123 232164 348246 696492 1167269 2334538 3501807 4669076 7003614 10505421 14007228 21010842 31516263 42021684 63032526 126065052