Search a number
-
+
1196328096 = 25336122699
BaseRepresentation
bin100011101001110…
…1000010010100000
310002101002202122000
41013103220102200
54422224444341
6314413244000
741434423005
oct10723502240
93071082560
101196328096
11564329007
12294793600
13160b0a062
14b4c558ac
15700628b6
hex474e84a0

1196328096 has 96 divisors (see below), whose sum is σ = 3546648000. Its totient is φ = 392221440.

The previous prime is 1196328071. The next prime is 1196328109. The reversal of 1196328096 is 6908236911.

It is a happy number.

1196328096 is a `hidden beast` number, since 1 + 1 + 9 + 632 + 8 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 41355 + ... + 64053.

It is an arithmetic number, because the mean of its divisors is an integer number (36944250).

Almost surely, 21196328096 is an apocalyptic number.

1196328096 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 1196328096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773324000).

1196328096 is an abundant number, since it is smaller than the sum of its proper divisors (2350319904).

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

1196328096 is a wasteful number, since it uses less digits than its factorization.

1196328096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22779 (or 22765 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1196328096 is about 34587.9761767005. The cubic root of 1196328096 is about 1061.5735783642.

The spelling of 1196328096 in words is "one billion, one hundred ninety-six million, three hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2196 2928 3294 4392 5856 6588 8784 13176 17568 22699 26352 45398 52704 68097 90796 136194 181592 204291 272388 363184 408582 544776 612873 726368 817164 1089552 1225746 1384639 1634328 2179104 2451492 2769278 3268656 4153917 4902984 5538556 6537312 8307834 9805968 11077112 12461751 16615668 19611936 22154224 24923502 33231336 37385253 44308448 49847004 66462672 74770506 99694008 132925344 149541012 199388016 299082024 398776032 598164048 1196328096