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195139890 = 232511439449
BaseRepresentation
bin10111010000110…
…01100100110010
3111121012010121100
423220121210302
5344423434030
631210305230
74556442651
oct1350314462
9447163540
10195139890
11a0173540
1255428216
13315750ba
141bcb9198
15121e9360
hexba19932

195139890 has 96 divisors (see below), whose sum is σ = 555984000. Its totient is φ = 47093760.

The previous prime is 195139883. The next prime is 195139897. The reversal of 195139890 is 98931591.

195139890 is a nontrivial binomial coefficient, being equal to C(19756, 2).

It is an interprime number because it is at equal distance from previous prime (195139883) and next prime (195139897).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (195139897) 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 47 ways as a sum of consecutive naturals, for example, 434386 + ... + 434834.

It is an arithmetic number, because the mean of its divisors is an integer number (5791500).

Almost surely, 2195139890 is an apocalyptic number.

195139890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195139890 is the 19755-th triangular number and also the 9878-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195139890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277992000).

195139890 is an abundant number, since it is smaller than the sum of its proper divisors (360844110).

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

195139890 is a wasteful number, since it uses less digits than its factorization.

195139890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The square root of 195139890 is about 13969.2480112567. The cubic root of 195139890 is about 580.0276344344.

It can be divided in two parts, 19513 and 9890, that added together give a triangular number (29403 = T242).

The spelling of 195139890 in words is "one hundred ninety-five million, one hundred thirty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 439 449 495 878 898 990 1317 1347 2195 2245 2634 2694 3951 4041 4390 4490 4829 4939 6585 6735 7902 8082 9658 9878 13170 13470 14487 14817 19755 20205 24145 24695 28974 29634 39510 40410 43461 44451 48290 49390 72435 74085 86922 88902 144870 148170 197111 217305 222255 394222 434610 444510 591333 985555 1182666 1773999 1971110 2168221 2956665 3547998 4336442 5913330 6504663 8869995 10841105 13009326 17739990 19513989 21682210 32523315 39027978 65046630 97569945 195139890