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126716172 = 223113133067
BaseRepresentation
bin1111000110110…
…00100100001100
322211102211220120
413203120210030
5224414404142
620323544540
73066032622
oct743304414
9284384816
10126716172
1165589810
123652b150
1320338bab
1412b87512
15b1d07ec
hex78d890c

126716172 has 48 divisors (see below), whose sum is σ = 323686272. Its totient is φ = 38263680.

The previous prime is 126716171. The next prime is 126716179. The reversal of 126716172 is 271617621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (126716171) 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, 39783 + ... + 42849.

It is an arithmetic number, because the mean of its divisors is an integer number (6743464).

Almost surely, 2126716172 is an apocalyptic number.

126716172 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 126716172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161843136).

126716172 is an abundant number, since it is smaller than the sum of its proper divisors (196970100).

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

126716172 is a wasteful number, since it uses less digits than its factorization.

126716172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3396 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 126716172 is about 11256.8277947209. The cubic root of 126716172 is about 502.2778364969.

The spelling of 126716172 in words is "one hundred twenty-six million, seven hundred sixteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 313 626 939 1252 1878 3067 3443 3756 6134 6886 9201 10329 12268 13772 18402 20658 33737 36804 41316 67474 101211 134948 202422 404844 959971 1919942 2879913 3839884 5759826 10559681 11519652 21119362 31679043 42238724 63358086 126716172