Search a number
-
+
1189291296 = 253371911753
BaseRepresentation
bin100011011100011…
…0010010100100000
310001212212020221210
41012320302110200
54413424310141
6314002350120
741320544364
oct10670622440
93055766853
101189291296
11560362176
1229235b340
1315c51517b
14b3d432a4
156e622916
hex46e32520

1189291296 has 96 divisors (see below), whose sum is σ = 3224890368. Its totient is φ = 383477760.

The previous prime is 1189291289. The next prime is 1189291297. The reversal of 1189291296 is 6921929811.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1189291297) 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, 677556 + ... + 679308.

It is an arithmetic number, because the mean of its divisors is an integer number (33592608).

Almost surely, 21189291296 is an apocalyptic number.

1189291296 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 1189291296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612445184).

1189291296 is an abundant number, since it is smaller than the sum of its proper divisors (2035599072).

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

1189291296 is a wasteful number, since it uses less digits than its factorization.

1189291296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1986 counting only the distinct ones).

The product of its digits is 139968, while the sum is 48.

The square root of 1189291296 is about 34486.1029401700. The cubic root of 1189291296 is about 1059.4880926836.

The spelling of 1189291296 in words is "one billion, one hundred eighty-nine million, two hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 191 222 296 382 444 573 592 764 888 1146 1184 1528 1753 1776 2292 3056 3506 3552 4584 5259 6112 7012 7067 9168 10518 14024 14134 18336 21036 21201 28048 28268 42072 42402 56096 56536 64861 84144 84804 113072 129722 168288 169608 194583 226144 259444 334823 339216 389166 518888 669646 678432 778332 1004469 1037776 1339292 1556664 2008938 2075552 2678584 3113328 4017876 5357168 6226656 8035752 10714336 12388451 16071504 24776902 32143008 37165353 49553804 74330706 99107608 148661412 198215216 297322824 396430432 594645648 1189291296