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189270128 = 24233147353
BaseRepresentation
bin10110100100000…
…00100001110000
3111012010220210202
423102000201300
5341423121003
630440414332
74455524645
oct1322004160
9435126722
10189270128
11979244a3
12534773a8
133029b478
141b1cbdcc
151193a088
hexb480870

189270128 has 80 divisors (see below), whose sum is σ = 404545536. Its totient is φ = 85493760.

The previous prime is 189270127. The next prime is 189270139. The reversal of 189270128 is 821072981.

189270128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 189270091 and 189270100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189270121) 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, 536000 + ... + 536352.

Almost surely, 2189270128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189270128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202272768).

189270128 is an abundant number, since it is smaller than the sum of its proper divisors (215275408).

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

189270128 is a wasteful number, since it uses less digits than its factorization.

189270128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 189270128 is about 13757.5480373503. The cubic root of 189270128 is about 574.1526301165.

The spelling of 189270128 in words is "one hundred eighty-nine million, two hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 31 46 47 62 92 94 124 184 188 248 353 368 376 496 706 713 752 1081 1412 1426 1457 2162 2824 2852 2914 4324 5648 5704 5828 8119 8648 10943 11408 11656 16238 16591 17296 21886 23312 32476 33182 33511 43772 64952 66364 67022 87544 129904 132728 134044 175088 251689 265456 268088 381593 503378 514321 536176 763186 1006756 1028642 1526372 2013512 2057284 3052744 4027024 4114568 6105488 8229136 11829383 23658766 47317532 94635064 189270128