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195190240 = 2557612857
BaseRepresentation
bin10111010001001…
…01110111100000
3111121021200200011
423220211313200
5344432041430
631211334304
74560042520
oct1350456740
9447250604
10195190240
11a01a8353
1255451394
1331591cab
141bccd680
151220922a
hexba25de0

195190240 has 96 divisors (see below), whose sum is σ = 535840704. Its totient is φ = 65802240.

The previous prime is 195190199. The next prime is 195190267. The reversal of 195190240 is 42091591.

195190240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66892 + ... + 69748.

It is an arithmetic number, because the mean of its divisors is an integer number (5581674).

Almost surely, 2195190240 is an apocalyptic number.

195190240 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 195190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267920352).

195190240 is an abundant number, since it is smaller than the sum of its proper divisors (340650464).

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

195190240 is a wasteful number, since it uses less digits than its factorization.

195190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 195190240 is about 13971.0500679083. The cubic root of 195190240 is about 580.0775163934.

The spelling of 195190240 in words is "one hundred ninety-five million, one hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 70 80 112 122 140 160 224 244 280 305 427 488 560 610 854 976 1120 1220 1708 1952 2135 2440 2857 3416 4270 4880 5714 6832 8540 9760 11428 13664 14285 17080 19999 22856 28570 34160 39998 45712 57140 68320 79996 91424 99995 114280 159992 174277 199990 228560 319984 348554 399980 457120 639968 697108 799960 871385 1219939 1394216 1599920 1742770 2439878 2788432 3199840 3485540 4879756 5576864 6099695 6971080 9759512 12199390 13942160 19519024 24398780 27884320 39038048 48797560 97595120 195190240