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190002120 = 233571120563
BaseRepresentation
bin10110101001100…
…11001111001000
3111020112002220120
423110303033020
5342120031440
630504223240
74464664020
oct1324631710
9436462816
10190002120
1198284450
125376ab20
13304966b9
141b33ca80
1511a31dd0
hexb5333c8

190002120 has 128 divisors (see below), whose sum is σ = 710691840. Its totient is φ = 39479040.

The previous prime is 190002119. The next prime is 190002121. The reversal of 190002120 is 21200091.

It is a happy number.

190002120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190002119) and next prime (190002121).

It is a super-2 number, since 2×1900021202 = 72201611208988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 190002120.

It is not an unprimeable number, because it can be changed into a prime (190002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042 + ... + 19521.

It is an arithmetic number, because the mean of its divisors is an integer number (5552280).

Almost surely, 2190002120 is an apocalyptic number.

190002120 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 190002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355345920).

190002120 is an abundant number, since it is smaller than the sum of its proper divisors (520689720).

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

190002120 is a wasteful number, since it uses less digits than its factorization.

190002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20595 (or 20591 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 190002120 is about 13784.1256523582. The cubic root of 190002120 is about 574.8918460728.

The spelling of 190002120 in words is "one hundred ninety million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 20563 41126 61689 82252 102815 123378 143941 164504 205630 226193 246756 287882 308445 411260 431823 452386 493512 575764 616890 678579 719705 822520 863646 904772 1130965 1151528 1233780 1357158 1439410 1583351 1727292 1809544 2159115 2261930 2467560 2714316 2878820 3166702 3392895 3454584 4318230 4523860 4750053 5428632 5757640 6333404 6785790 7916755 8636460 9047720 9500106 12666808 13571580 15833510 17272920 19000212 23750265 27143160 31667020 38000424 47500530 63334040 95001060 190002120