Search a number
-
+
196096320 = 26325771137
BaseRepresentation
bin10111011000000…
…11000101000000
3111122222201120200
423230003011000
5400200040240
631243005200
74600535250
oct1354030500
9448881520
10196096320
11a0767082
1255809800
133181b534
141c087960
1512337930
hexbb03140

196096320 has 336 divisors, whose sum is σ = 787408128. Its totient is φ = 43868160.

The previous prime is 196096319. The next prime is 196096339. The reversal of 196096320 is 23690691.

196096320 is a `hidden beast` number, since 19 + 6 + 0 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1431292 + ... + 1431428.

Almost surely, 2196096320 is an apocalyptic number.

196096320 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 196096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393704064).

196096320 is an abundant number, since it is smaller than the sum of its proper divisors (591311808).

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

196096320 is a wasteful number, since it uses less digits than its factorization.

196096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 196096320 is about 14003.4395774752. The cubic root of 196096320 is about 580.9737112161.

The spelling of 196096320 in words is "one hundred ninety-six million, ninety-six thousand, three hundred twenty".