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189381384 = 2332127139149
BaseRepresentation
bin10110100100110…
…11101100001000
3111012100120102100
423102123230020
5341440201014
630443033400
74456500213
oct1322335410
9435316370
10189381384
11979a0045
125350b860
1330309cba
141b21a77a
151195d009
hexb49bb08

189381384 has 96 divisors (see below), whose sum is σ = 524160000. Its totient is φ = 61762176.

The previous prime is 189381383. The next prime is 189381391. The reversal of 189381384 is 483183981.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (189381383) 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, 1270942 + ... + 1271090.

It is an arithmetic number, because the mean of its divisors is an integer number (5460000).

Almost surely, 2189381384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189381384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080000).

189381384 is an abundant number, since it is smaller than the sum of its proper divisors (334778616).

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

189381384 is a wasteful number, since it uses less digits than its factorization.

189381384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 189381384 is about 13761.5908964044. The cubic root of 189381384 is about 574.2651067720.

The spelling of 189381384 in words is "one hundred eighty-nine million, three hundred eighty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 139 149 254 278 298 381 417 447 508 556 596 762 834 894 1016 1112 1143 1192 1251 1341 1524 1668 1788 2286 2502 2682 3048 3336 3576 4572 5004 5364 9144 10008 10728 17653 18923 20711 35306 37846 41422 52959 56769 62133 70612 75692 82844 105918 113538 124266 141224 151384 158877 165688 170307 186399 211836 227076 248532 317754 340614 372798 423672 454152 497064 635508 681228 745596 1271016 1362456 1491192 2630297 5260594 7890891 10521188 15781782 21042376 23672673 31563564 47345346 63127128 94690692 189381384