Search a number
-
+
196964352 = 2123313137
BaseRepresentation
bin10111011110101…
…11000000000000
3111201121211022000
423233113000000
5400410324402
631313344000
74611112044
oct1357270000
9451554260
10196964352
11a11aa262
1255b68000
1331a63670
141c232024
1512459c1c
hexbbd7000

196964352 has 208 divisors, whose sum is σ = 633000480. Its totient is φ = 60162048.

The previous prime is 196964351. The next prime is 196964353. The reversal of 196964352 is 253469691.

It is an interprime number because it is at equal distance from previous prime (196964351) and next prime (196964353).

It is a tau number, because it is divible by the number of its divisors (208).

It is a junction number, because it is equal to n+sod(n) for n = 196964298 and 196964307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196964351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437628 + ... + 1437764.

Almost surely, 2196964352 is an apocalyptic number.

196964352 is a gapful number since it is divisible by the number (12) 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 196964352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316500240).

196964352 is an abundant number, since it is smaller than the sum of its proper divisors (436036128).

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

196964352 is a wasteful number, since it uses less digits than its factorization.

196964352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 155 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 196964352 is about 14034.3988827452. The cubic root of 196964352 is about 581.8296876513.

The spelling of 196964352 in words is "one hundred ninety-six million, nine hundred sixty-four thousand, three hundred fifty-two".