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189053440 = 29573849
BaseRepresentation
bin10110100010010…
…11101000000000
3111011201220120021
423101023220000
5341344202230
630432023224
74453633132
oct1321135000
9434656507
10189053440
1197796714
1253391b14
1330223954
141b173052
15118e5c7a
hexb44ba00

189053440 has 40 divisors (see below), whose sum is σ = 453291300. Its totient is φ = 75620352.

The previous prime is 189053437. The next prime is 189053443. The reversal of 189053440 is 44350981.

It is an interprime number because it is at equal distance from previous prime (189053437) and next prime (189053443).

It can be written as a sum of positive squares in 2 ways, for example, as 184525056 + 4528384 = 13584^2 + 2128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 189053396 and 189053405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189053443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34365 + ... + 39484.

Almost surely, 2189053440 is an apocalyptic number.

189053440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189053440 is an abundant number, since it is smaller than the sum of its proper divisors (264237860).

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

189053440 is an frugal number, since it uses more digits than its factorization.

189053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73872 (or 73856 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 189053440 is about 13749.6705415075. The cubic root of 189053440 is about 573.9334381169.

The spelling of 189053440 in words is "one hundred eighty-nine million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 73849 147698 295396 369245 590792 738490 1181584 1476980 2363168 2953960 4726336 5907920 9452672 11815840 18905344 23631680 37810688 47263360 94526720 189053440