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195152440 = 23573122483
BaseRepresentation
bin10111010000111…
…00101000111000
3111121012202211011
423220130220320
5344424334230
631210443304
74556524360
oct1350345070
9447182734
10195152440
11a0181a0a
1255433534
133157aa22
141bcbd9a0
15121ece2a
hexba1ca38

195152440 has 64 divisors (see below), whose sum is σ = 518031360. Its totient is φ = 64748160.

The previous prime is 195152389. The next prime is 195152443. The reversal of 195152440 is 44251591.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195152443) 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 15 ways as a sum of consecutive naturals, for example, 2562 + ... + 19921.

It is an arithmetic number, because the mean of its divisors is an integer number (8094240).

Almost surely, 2195152440 is an apocalyptic number.

195152440 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 195152440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259015680).

195152440 is an abundant number, since it is smaller than the sum of its proper divisors (322878920).

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

195152440 is a wasteful number, since it uses less digits than its factorization.

195152440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22532 (or 22528 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 195152440 is about 13969.6972050220. The cubic root of 195152440 is about 580.0400685755.

The spelling of 195152440 in words is "one hundred ninety-five million, one hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 22483 44966 89932 112415 157381 179864 224830 314762 449660 629524 696973 786905 899320 1259048 1393946 1573810 2787892 3147620 3484865 4878811 5575784 6295240 6969730 9757622 13939460 19515244 24394055 27878920 39030488 48788110 97576220 195152440