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189883764 = 22347292887
BaseRepresentation
bin10110101000101…
…10010101110100
3111020022002120000
423110112111310
5342102240024
630501511300
74463661660
oct1324262564
9436262500
10189883764
1198203534
1253712530
1330454875
141b30b8a0
1511a0bcc9
hexb516574

189883764 has 120 divisors (see below), whose sum is σ = 587072640. Its totient is φ = 52363584.

The previous prime is 189883747. The next prime is 189883801. The reversal of 189883764 is 467388981.

189883764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 189883764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64329 + ... + 67215.

It is an arithmetic number, because the mean of its divisors is an integer number (4892272).

Almost surely, 2189883764 is an apocalyptic number.

189883764 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 189883764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293536320).

189883764 is an abundant number, since it is smaller than the sum of its proper divisors (397188876).

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

189883764 is a wasteful number, since it uses less digits than its factorization.

189883764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2928 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 189883764 is about 13779.8317841692. The cubic root of 189883764 is about 574.7724508569.

The spelling of 189883764 in words is "one hundred eighty-nine million, eight hundred eighty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 252 261 324 348 378 406 522 567 609 756 783 812 1044 1134 1218 1566 1827 2268 2349 2436 2887 3132 3654 4698 5481 5774 7308 8661 9396 10962 11548 16443 17322 20209 21924 25983 32886 34644 40418 51966 60627 65772 77949 80836 83723 103932 121254 155898 167446 181881 233847 242508 251169 311796 334892 363762 467694 502338 545643 586061 727524 753507 935388 1004676 1091286 1172122 1507014 1636929 1758183 2182572 2260521 2344244 3014028 3273858 3516366 4521042 5274549 6547716 6781563 7032732 9042084 10549098 13563126 15823647 21098196 27126252 31647294 47470941 63294588 94941882 189883764