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189980644 = 227217233767
BaseRepresentation
bin10110101001011…
…01111111100100
3111020111000110011
423110231333210
5342113340034
630503540004
74464544300
oct1324557744
9436430404
10189980644
119826a2a7
125375a604
13304899a9
141b334d00
1511a2a864
hexb52dfe4

189980644 has 144 divisors (see below), whose sum is σ = 445398912. Its totient is φ = 70253568.

The previous prime is 189980603. The next prime is 189980647. The reversal of 189980644 is 446089981.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (189980647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2835499 + ... + 2835565.

It is an arithmetic number, because the mean of its divisors is an integer number (3093048).

Almost surely, 2189980644 is an apocalyptic number.

189980644 is a gapful number since it is divisible by the number (14) 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 189980644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222699456).

189980644 is an abundant number, since it is smaller than the sum of its proper divisors (255418268).

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

189980644 is a wasteful number, since it uses less digits than its factorization.

189980644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 189980644 is about 13783.3466182927. The cubic root of 189980644 is about 574.8701851873.

The spelling of 189980644 in words is "one hundred eighty-nine million, nine hundred eighty thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 17 23 28 34 37 46 49 67 68 74 92 98 119 134 148 161 196 238 259 268 322 391 469 476 518 629 644 782 833 851 938 1036 1127 1139 1258 1541 1564 1666 1702 1813 1876 2254 2278 2479 2516 2737 3082 3283 3332 3404 3626 4403 4508 4556 4958 5474 5957 6164 6566 7252 7973 8806 9916 10787 10948 11914 13132 14467 15946 17353 17612 19159 21574 23828 26197 28934 30821 31892 34706 38318 41699 42143 43148 52394 55811 57017 57868 61642 69412 75509 76636 83398 84286 101269 104788 111622 114034 121471 123284 151018 166796 168572 183379 202538 223244 228068 242942 295001 302036 366758 399119 405076 485884 590002 708883 733516 798238 969289 1180004 1283653 1417766 1596476 1938578 2065007 2567306 2793833 2835532 3877156 4130014 5134612 5587666 6785023 8260028 11175332 13570046 27140092 47495161 94990322 189980644