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174042132 = 223111498849
BaseRepresentation
bin10100101111110…
…10110000010100
3110010111020220220
422113322300110
5324023322012
625134154340
74212222315
oct1227726024
9403436826
10174042132
118a273480
124a3529b0
132a099114
141918660c
151042d08c
hexa5fac14

174042132 has 48 divisors (see below), whose sum is σ = 446040000. Its totient is φ = 52380160.

The previous prime is 174042097. The next prime is 174042139. The reversal of 174042132 is 231240471.

It is a happy number.

174042132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1740421322 = 60581327422210848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (174042139) 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, 15244 + ... + 24092.

It is an arithmetic number, because the mean of its divisors is an integer number (9292500).

Almost surely, 2174042132 is an apocalyptic number.

174042132 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 174042132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223020000).

174042132 is an abundant number, since it is smaller than the sum of its proper divisors (271997868).

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

174042132 is a wasteful number, since it uses less digits than its factorization.

174042132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9016 (or 9014 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 174042132 is about 13192.5028709491. The cubic root of 174042132 is about 558.3220735434.

The spelling of 174042132 in words is "one hundred seventy-four million, forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 3278 4917 6556 8849 9834 17698 19668 26547 35396 53094 97339 106188 194678 292017 389356 584034 1168068 1318501 2637002 3955503 5274004 7911006 14503511 15822012 29007022 43510533 58014044 87021066 174042132