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190101060 = 223351971787
BaseRepresentation
bin10110101010010…
…11011001000100
3111020201010122000
423111023121010
5342131213220
630510305300
74465555332
oct1325133104
9436633560
10190101060
1198341816
12537b8230
13304cc746
141b366b52
1511a51390
hexb54b644

190101060 has 96 divisors (see below), whose sum is σ = 594760320. Its totient is φ = 50408064.

The previous prime is 190101053. The next prime is 190101073. The reversal of 190101060 is 60101091.

It is a super-2 number, since 2×1901010602 = 72276826026247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 105487 + ... + 107273.

It is an arithmetic number, because the mean of its divisors is an integer number (6195420).

Almost surely, 2190101060 is an apocalyptic number.

190101060 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 190101060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297380160).

190101060 is an abundant number, since it is smaller than the sum of its proper divisors (404659260).

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

190101060 is a wasteful number, since it uses less digits than its factorization.

190101060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 190101060 is about 13787.7140962525. The cubic root of 190101060 is about 574.9916167650.

The spelling of 190101060 in words is "one hundred ninety million, one hundred one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 394 540 591 788 985 1182 1773 1787 1970 2364 2955 3546 3574 3940 5319 5361 5910 7092 7148 8865 8935 10638 10722 11820 16083 17730 17870 21276 21444 26595 26805 32166 35460 35740 48249 53190 53610 64332 80415 96498 106380 107220 160830 192996 241245 321660 352039 482490 704078 964980 1056117 1408156 1760195 2112234 3168351 3520390 4224468 5280585 6336702 7040780 9505053 10561170 12673404 15841755 19010106 21122340 31683510 38020212 47525265 63367020 95050530 190101060