Search a number
-
+
189100032 = 2123111399
BaseRepresentation
bin10110100010101…
…11000000000000
3111011211021110220
423101113000000
5341402200112
630433023040
74454216022
oct1321270000
9434737426
10189100032
1197818720
12533b4a80
133023bc14
141b186012
151190498c
hexb457000

189100032 has 104 divisors (see below), whose sum is σ = 550435200. Its totient is φ = 57262080.

The previous prime is 189100013. The next prime is 189100033. The reversal of 189100032 is 230001981.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 189099975 and 189100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189100033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134469 + ... + 135867.

Almost surely, 2189100032 is an apocalyptic number.

189100032 is a gapful number since it is divisible by the number (12) 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 189100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275217600).

189100032 is an abundant number, since it is smaller than the sum of its proper divisors (361335168).

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

189100032 is a wasteful number, since it uses less digits than its factorization.

189100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 189100032 is about 13751.3647322729. The cubic root of 189100032 is about 573.9805826532.

The spelling of 189100032 in words is "one hundred eighty-nine million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1399 1408 1536 2048 2112 2798 2816 3072 4096 4197 4224 5596 5632 6144 8394 8448 11192 11264 12288 15389 16788 16896 22384 22528 30778 33576 33792 44768 45056 46167 61556 67152 67584 89536 92334 123112 134304 135168 179072 184668 246224 268608 358144 369336 492448 537216 716288 738672 984896 1074432 1432576 1477344 1969792 2148864 2865152 2954688 3939584 4297728 5730304 5909376 7879168 8595456 11818752 15758336 17190912 23637504 31516672 47275008 63033344 94550016 189100032