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189445320 = 23325539929
BaseRepresentation
bin10110100101010…
…11010011001000
3111012110211010100
423102223103020
5341444222240
630444245400
74460154501
oct1322532310
9435424110
10189445320
1197a34089
1253540860
133033012c
141b235ba8
1511971e30
hexb4ab4c8

189445320 has 96 divisors (see below), whose sum is σ = 627377400. Its totient is φ = 49560576.

The previous prime is 189445261. The next prime is 189445327. The reversal of 189445320 is 23544981.

189445320 is a `hidden beast` number, since 1 + 89 + 44 + 532 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145009764 + 44435556 = 12042^2 + 6666^2 .

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

It is not an unprimeable number, because it can be changed into a prime (189445327) 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 23 ways as a sum of consecutive naturals, for example, 14116 + ... + 24044.

Almost surely, 2189445320 is an apocalyptic number.

189445320 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 189445320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313688700).

189445320 is an abundant number, since it is smaller than the sum of its proper divisors (437932080).

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

189445320 is a wasteful number, since it uses less digits than its factorization.

189445320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999 (or 9992 counting only the distinct ones).

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

The square root of 189445320 is about 13763.9136876108. The cubic root of 189445320 is about 574.3297243214.

The spelling of 189445320 in words is "one hundred eighty-nine million, four hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 9929 19080 19858 29787 39716 49645 59574 79432 89361 99290 119148 148935 178722 198580 238296 297870 357444 397160 446805 526237 595740 714888 893610 1052474 1191480 1578711 1787220 2104948 2631185 3157422 3574440 4209896 4736133 5262370 6314844 7893555 9472266 10524740 12629688 15787110 18944532 21049480 23680665 31574220 37889064 47361330 63148440 94722660 189445320