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174138072 = 23317538053
BaseRepresentation
bin10100110000100…
…10001011011000
3110010200010112020
422120102023120
5324034404242
625140214440
74213102113
oct1230221330
9403603466
10174138072
118a329569
124a39a420
132a1009a4
14191ad57a
151044b6ec
hexa6122d8

174138072 has 64 divisors (see below), whose sum is σ = 469709280. Its totient is φ = 53594112.

The previous prime is 174138049. The next prime is 174138119. The reversal of 174138072 is 270831471.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17598 + ... + 25650.

Almost surely, 2174138072 is an apocalyptic number.

174138072 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 174138072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234854640).

174138072 is an abundant number, since it is smaller than the sum of its proper divisors (295571208).

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

174138072 is a wasteful number, since it uses less digits than its factorization.

174138072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 174138072 is about 13196.1385260992. The cubic root of 174138072 is about 558.4246456037.

The spelling of 174138072 in words is "one hundred seventy-four million, one hundred thirty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 636 901 1272 1802 2703 3604 5406 7208 8053 10812 16106 21624 24159 32212 48318 64424 96636 136901 193272 273802 410703 426809 547604 821406 853618 1095208 1280427 1642812 1707236 2560854 3285624 3414472 5121708 7255753 10243416 14511506 21767259 29023012 43534518 58046024 87069036 174138072