Search a number
-
+
193191696 = 24331923537
BaseRepresentation
bin10111000001111…
…01111100010000
3111110112011012000
423200331330100
5343424113241
631100434000
74534050045
oct1340757420
9443464160
10193191696
119a062865
1254848900
1331042419
141b92d1cc
1511e61eb6
hexb83df10

193191696 has 80 divisors (see below), whose sum is σ = 583742400. Its totient is φ = 61005312.

The previous prime is 193191683. The next prime is 193191701. The reversal of 193191696 is 696191391.

193191696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3561 + ... + 19976.

It is an arithmetic number, because the mean of its divisors is an integer number (7296780).

Almost surely, 2193191696 is an apocalyptic number.

193191696 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 193191696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291871200).

193191696 is an abundant number, since it is smaller than the sum of its proper divisors (390550704).

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

193191696 is a wasteful number, since it uses less digits than its factorization.

193191696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23573 (or 23561 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 193191696 is about 13899.3415671391. The cubic root of 193191696 is about 578.0909249008.

The spelling of 193191696 in words is "one hundred ninety-three million, one hundred ninety-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 23537 47074 70611 94148 141222 188296 211833 282444 376592 423666 447203 564888 635499 847332 894406 1129776 1270998 1341609 1694664 1788812 2541996 2683218 3389328 3577624 4024827 5083992 5366436 7155248 8049654 10167984 10732872 12074481 16099308 21465744 24148962 32198616 48297924 64397232 96595848 193191696