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195426420 = 223572331997
BaseRepresentation
bin10111010010111…
…11100001110100
3111121201200122120
423221133201310
5400012121140
631220355540
74562045220
oct1351374164
9447650576
10195426420
11a0349842
1255545bb0
1331645647
141bd51780
15122541d0
hexba5f874

195426420 has 96 divisors (see below), whose sum is σ = 628363008. Its totient is φ = 44454912.

The previous prime is 195426409. The next prime is 195426421. The reversal of 195426420 is 24624591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195426421) 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, 96862 + ... + 98858.

It is an arithmetic number, because the mean of its divisors is an integer number (6545448).

Almost surely, 2195426420 is an apocalyptic number.

195426420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 13979×13980.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195426420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314181504).

195426420 is an abundant number, since it is smaller than the sum of its proper divisors (432936588).

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

195426420 is a wasteful number, since it uses less digits than its factorization.

195426420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 195426420 is about 13979.4999910583. The cubic root of 195426420 is about 580.3113865009.

The spelling of 195426420 in words is "one hundred ninety-five million, four hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 233 420 466 699 932 1165 1398 1631 1997 2330 2796 3262 3495 3994 4660 4893 5991 6524 6990 7988 8155 9786 9985 11982 13979 13980 16310 19572 19970 23964 24465 27958 29955 32620 39940 41937 48930 55916 59910 69895 83874 97860 119820 139790 167748 209685 279580 419370 465301 838740 930602 1395903 1861204 2326505 2791806 3257107 4653010 5583612 6514214 6979515 9306020 9771321 13028428 13959030 16285535 19542642 27918060 32571070 39085284 48856605 65142140 97713210 195426420