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196468520 = 23537132749
BaseRepresentation
bin10111011010111…
…01111100101000
3111200200122010212
423231131330220
5400243443040
631255000252
74603645343
oct1355357450
9450618125
10196468520
11a09a0786
1255969088
133191ba81
141c14345a
15123acd65
hexbb5df28

196468520 has 32 divisors (see below), whose sum is σ = 454005000. Its totient is φ = 76462848.

The previous prime is 196468511. The next prime is 196468529. The reversal of 196468520 is 25864691.

It is a happy number.

196468520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196468511) and next prime (196468529).

It can be written as a sum of positive squares in 4 ways, for example, as 195496324 + 972196 = 13982^2 + 986^2 .

It is not an unprimeable number, because it can be changed into a prime (196468529) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 64895 + ... + 67854.

Almost surely, 2196468520 is an apocalyptic number.

196468520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196468520 is an abundant number, since it is smaller than the sum of its proper divisors (257536480).

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

196468520 is a wasteful number, since it uses less digits than its factorization.

196468520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132797 (or 132793 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 196468520 is about 14016.7228694870. The cubic root of 196468520 is about 581.3410506766.

The spelling of 196468520 in words is "one hundred ninety-six million, four hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 132749 265498 530996 663745 1061992 1327490 2654980 4911713 5309960 9823426 19646852 24558565 39293704 49117130 98234260 196468520