Search a number
-
+
189204160 = 2653119073
BaseRepresentation
bin10110100011100…
…00011011000000
3111012000120022111
423101300123000
5341414013120
630435145104
74455131425
oct1321603300
9435016274
10189204160
1197889982
1253445194
1330277432
141b1b1d4c
151192575a
hexb4706c0

189204160 has 56 divisors (see below), whose sum is σ = 465100416. Its totient is φ = 73236480.

The previous prime is 189204157. The next prime is 189204161. The reversal of 189204160 is 61402981.

It is a happy number.

It is a super-2 number, since 2×1892041602 = 71596428322611200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (189204161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 384 + ... + 19456.

Almost surely, 2189204160 is an apocalyptic number.

189204160 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 189204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232550208).

189204160 is an abundant number, since it is smaller than the sum of its proper divisors (275896256).

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

189204160 is a wasteful number, since it uses less digits than its factorization.

189204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19121 (or 19111 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 189204160 is about 13755.1503081573. The cubic root of 189204160 is about 574.0859175255.

The spelling of 189204160 in words is "one hundred eighty-nine million, two hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 19073 38146 76292 95365 152584 190730 305168 381460 591263 610336 762920 1182526 1220672 1525840 2365052 2956315 3051680 4730104 5912630 6103360 9460208 11825260 18920416 23650520 37840832 47301040 94602080 189204160