Search a number
-
+
196303464 = 233271372843
BaseRepresentation
bin10111011001101…
…01101001101000
3111200101020201200
423230311221220
5400223202324
631251244200
74602360210
oct1354655150
9450336650
10196303464
11a0898775
12558a9660
13318918c6
141c0dd240
1512378ec9
hexbb35a68

196303464 has 96 divisors (see below), whose sum is σ = 612256320. Its totient is φ = 55657728.

The previous prime is 196303451. The next prime is 196303493. The reversal of 196303464 is 464303691.

196303464 is a `hidden beast` number, since 19 + 630 + 3 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67627 + ... + 70469.

It is an arithmetic number, because the mean of its divisors is an integer number (6377670).

Almost surely, 2196303464 is an apocalyptic number.

196303464 is a gapful number since it is divisible by the number (14) 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 196303464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306128160).

196303464 is an abundant number, since it is smaller than the sum of its proper divisors (415952856).

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

196303464 is a wasteful number, since it uses less digits than its factorization.

196303464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 196303464 is about 14010.8338081643. The cubic root of 196303464 is about 581.1782074354.

The spelling of 196303464 in words is "one hundred ninety-six million, three hundred three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 137 168 252 274 411 504 548 822 959 1096 1233 1644 1918 2466 2843 2877 3288 3836 4932 5686 5754 7672 8529 8631 9864 11372 11508 17058 17262 19901 22744 23016 25587 34116 34524 39802 51174 59703 68232 69048 79604 102348 119406 159208 179109 204696 238812 358218 389491 477624 716436 778982 1168473 1432872 1557964 2336946 2726437 3115928 3505419 4673892 5452874 7010838 8179311 9347784 10905748 14021676 16358622 21811496 24537933 28043352 32717244 49075866 65434488 98151732 196303464