Search a number
-
+
189991968 = 2532817043
BaseRepresentation
bin10110101001100…
…00110000100000
3111020111120222120
423110300300200
5342114220333
630504104240
74464622305
oct1324606040
9436446876
10189991968
1198277861
1253765080
1330491baa
141b3390ac
1511a2ddb3
hexb530c20

189991968 has 48 divisors (see below), whose sum is σ = 500574816. Its totient is φ = 63096320.

The previous prime is 189991957. The next prime is 189991969. The reversal of 189991968 is 869199981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (189991969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23455 + ... + 30497.

It is an arithmetic number, because the mean of its divisors is an integer number (10428642).

Almost surely, 2189991968 is an apocalyptic number.

It is an amenable number.

189991968 is an abundant number, since it is smaller than the sum of its proper divisors (310582848).

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

189991968 is a wasteful number, since it uses less digits than its factorization.

189991968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337 (or 7329 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 60.

The square root of 189991968 is about 13783.7573977490. The cubic root of 189991968 is about 574.8816068783.

The spelling of 189991968 in words is "one hundred eighty-nine million, nine hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 281 562 843 1124 1686 2248 3372 4496 6744 7043 8992 13488 14086 21129 26976 28172 42258 56344 84516 112688 169032 225376 338064 676128 1979083 3958166 5937249 7916332 11874498 15832664 23748996 31665328 47497992 63330656 94995984 189991968