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189154240 = 265111729109
BaseRepresentation
bin10110100011001…
…00001111000000
3111011221000211121
423101210033000
5341410413430
630434122024
74454533042
oct1321441700
9434830747
10189154240
1197855420
1253420314
133025a7b2
141b19ba92
1511915a7a
hexb4643c0

189154240 has 224 divisors, whose sum is σ = 543153600. Its totient is φ = 61931520.

The previous prime is 189154237. The next prime is 189154267. The reversal of 189154240 is 42451981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 189154196 and 189154205.

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 31 ways as a sum of consecutive naturals, for example, 1735306 + ... + 1735414.

Almost surely, 2189154240 is an apocalyptic number.

189154240 is a gapful number since it is divisible by the number (10) 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 189154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271576800).

189154240 is an abundant number, since it is smaller than the sum of its proper divisors (353999360).

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

189154240 is a wasteful number, since it uses less digits than its factorization.

189154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 189154240 is about 13753.3355954110. The cubic root of 189154240 is about 574.0354237629.

The spelling of 189154240 in words is "one hundred eighty-nine million, one hundred fifty-four thousand, two hundred forty".