Search a number
-
+
96543104 = 2771953107
BaseRepresentation
bin1011100000100…
…10000110000000
320201122220020112
411300102012000
5144203334404
613325130452
72251413530
oct560220600
9221586215
1096543104
114a550299
12283b9a28
13170031c8
14cb714c0
15872056e
hex5c12180

96543104 has 128 divisors (see below), whose sum is σ = 237945600. Its totient is φ = 38098944.

The previous prime is 96543091. The next prime is 96543131. The reversal of 96543104 is 40134569.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 902219 + ... + 902325.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 296543104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96543104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118972800).

96543104 is an abundant number, since it is smaller than the sum of its proper divisors (141402496).

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

96543104 is a wasteful number, since it uses less digits than its factorization.

96543104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 96543104 is about 9825.6350430901. The cubic root of 96543104 is about 458.7475444782.

The spelling of 96543104 in words is "ninety-six million, five hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 53 56 64 76 106 107 112 128 133 152 212 214 224 266 304 371 424 428 448 532 608 742 749 848 856 896 1007 1064 1216 1484 1498 1696 1712 2014 2033 2128 2432 2968 2996 3392 3424 4028 4066 4256 5671 5936 5992 6784 6848 7049 8056 8132 8512 11342 11872 11984 13696 14098 14231 16112 16264 17024 22684 23744 23968 28196 28462 32224 32528 39697 45368 47488 47936 56392 56924 64448 65056 79394 90736 95872 107749 112784 113848 128896 130112 158788 181472 215498 225568 227696 260224 317576 362944 430996 451136 455392 635152 725888 754243 861992 902272 910784 1270304 1508486 1723984 1821568 2540608 3016972 3447968 5081216 6033944 6895936 12067888 13791872 24135776 48271552 96543104