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195680988 = 223313113831
BaseRepresentation
bin10111010100111…
…01101011011100
3111122012121212000
423222131223130
5400043242423
631230042300
74564155336
oct1352355334
9448177760
10195680988
11a0503028
1255649390
1331704489
141bdba456
15122a4843
hexba9dadc

195680988 has 48 divisors (see below), whose sum is σ = 511230720. Its totient is φ = 64724400.

The previous prime is 195680923. The next prime is 195681029. The reversal of 195680988 is 889086591.

It is a super-2 number, since 2×1956809882 = 76582098129312288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7233 + ... + 21063.

It is an arithmetic number, because the mean of its divisors is an integer number (10650640).

Almost surely, 2195680988 is an apocalyptic number.

195680988 is a gapful number since it is divisible by the number (18) 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 195680988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255615360).

195680988 is an abundant number, since it is smaller than the sum of its proper divisors (315549732).

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

195680988 is a wasteful number, since it uses less digits than its factorization.

195680988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13975 (or 13967 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 195680988 is about 13988.6020745463. The cubic root of 195680988 is about 580.5632538622.

It can be divided in two parts, 1956 and 80988, that added together give a square (82944 = 2882).

The spelling of 195680988 in words is "one hundred ninety-five million, six hundred eighty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 7074 13831 14148 27662 41493 55324 82986 124479 165972 248958 373437 497916 746874 1493748 1811861 3623722 5435583 7247444 10871166 16306749 21742332 32613498 48920247 65226996 97840494 195680988