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189253440 = 2632565713
BaseRepresentation
bin10110100011111…
…00011101000000
3111012010001220200
423101330131000
5341422102230
630440205200
74455425205
oct1321743500
9435101820
10189253440
1197912a02
1253469800
13302939ac
141b1c5cac
1511935160
hexb47c740

189253440 has 84 divisors (see below), whose sum is σ = 650962884. Its totient is φ = 50466816.

The previous prime is 189253439. The next prime is 189253447. The reversal of 189253440 is 44352981.

189253440 is a `hidden beast` number, since 1 + 89 + 2 + 534 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120297024 + 68956416 = 10968^2 + 8304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 189253395 and 189253404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189253447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29977 + ... + 35736.

Almost surely, 2189253440 is an apocalyptic number.

189253440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189253440 is an abundant number, since it is smaller than the sum of its proper divisors (461709444).

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

189253440 is a wasteful number, since it uses less digits than its factorization.

189253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65736 (or 65723 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 189253440 is about 13756.9415205561. The cubic root of 189253440 is about 574.1357552214.

The spelling of 189253440 in words is "one hundred eighty-nine million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 65713 131426 197139 262852 328565 394278 525704 591417 657130 788556 985695 1051408 1182834 1314260 1577112 1971390 2102816 2365668 2628520 2957085 3154224 3942780 4205632 4731336 5257040 5914170 6308448 7885560 9462672 10514080 11828340 12616896 15771120 18925344 21028160 23656680 31542240 37850688 47313360 63084480 94626720 189253440