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1197631968 = 253136714323
BaseRepresentation
bin100011101100010…
…0110100111100000
310002110120000012120
41013120212213200
54423043210333
6314501224240
741451463251
oct10730464740
93073500176
101197631968
11565039695
12295102080
13161175690
14b50b4b28
157021ddb3
hex476269e0

1197631968 has 96 divisors (see below), whose sum is σ = 3436384896. Its totient is φ = 362976768.

The previous prime is 1197631961. The next prime is 1197632003. The reversal of 1197631968 is 8691367911.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1197631968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1197631961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76455 + ... + 90777.

It is an arithmetic number, because the mean of its divisors is an integer number (35795676).

Almost surely, 21197631968 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 1197631968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718192448).

1197631968 is an abundant number, since it is smaller than the sum of its proper divisors (2238752928).

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

1197631968 is a wasteful number, since it uses less digits than its factorization.

1197631968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14416 (or 14408 counting only the distinct ones).

The product of its digits is 489888, while the sum is 51.

The square root of 1197631968 is about 34606.8196747404. The cubic root of 1197631968 is about 1061.9591062452.

The spelling of 1197631968 in words is "one billion, one hundred ninety-seven million, six hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 201 208 268 312 402 416 536 624 804 871 1072 1248 1608 1742 2144 2613 3216 3484 5226 6432 6968 10452 13936 14323 20904 27872 28646 41808 42969 57292 83616 85938 114584 171876 186199 229168 343752 372398 458336 558597 687504 744796 959641 1117194 1375008 1489592 1919282 2234388 2878923 2979184 3838564 4468776 5757846 5958368 7677128 8937552 11515692 12475333 15354256 17875104 23031384 24950666 30708512 37425999 46062768 49901332 74851998 92125536 99802664 149703996 199605328 299407992 399210656 598815984 1197631968