Search a number
-
+
190779456 = 26371931241
BaseRepresentation
bin10110101111100…
…01000001000000
3111021222121012210
423113301001000
5342314420311
630533022120
74504412220
oct1327610100
9437877183
10190779456
119876547a
1253a84940
13306a946a
141b4a2080
1511b373a6
hexb5f1040

190779456 has 224 divisors, whose sum is σ = 629432320. Its totient is φ = 49766400.

The previous prime is 190779443. The next prime is 190779461. The reversal of 190779456 is 654977091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791496 + ... + 791736.

Almost surely, 2190779456 is an apocalyptic number.

190779456 is a gapful number since it is divisible by the number (16) 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 190779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314716160).

190779456 is an abundant number, since it is smaller than the sum of its proper divisors (438652864).

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

190779456 is a wasteful number, since it uses less digits than its factorization.

190779456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 190779456 is about 13812.2936545673. The cubic root of 190779456 is about 575.6747778268.

The spelling of 190779456 in words is "one hundred ninety million, seven hundred seventy-nine thousand, four hundred fifty-six".