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1140404064 = 25317838419
BaseRepresentation
bin100001111111001…
…0010111101100000
32221110212112021120
41003332102331200
54313420412224
6305054452240
740155163122
oct10376227540
92843775246
101140404064
115358014a8
12279b04080
13152359407
14ab659212
156a1b7779
hex43f92f60

1140404064 has 96 divisors (see below), whose sum is σ = 3208222080. Its totient is φ = 353421312.

The previous prime is 1140404017. The next prime is 1140404077. The reversal of 1140404064 is 4604040411.

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 (24).

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, 131247 + ... + 139665.

It is an arithmetic number, because the mean of its divisors is an integer number (33418980).

Almost surely, 21140404064 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 1140404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604111040).

1140404064 is an abundant number, since it is smaller than the sum of its proper divisors (2067818016).

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

1140404064 is a wasteful number, since it uses less digits than its factorization.

1140404064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8532 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1140404064 is about 33769.8691735695. The cubic root of 1140404064 is about 1044.7673341741.

Adding to 1140404064 its reverse (4604040411), we get a palindrome (5744444475).

The spelling of 1140404064 in words is "one billion, one hundred forty million, four hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 166 204 249 272 332 408 498 544 664 816 996 1328 1411 1632 1992 2656 2822 3984 4233 5644 7968 8419 8466 11288 16838 16932 22576 25257 33676 33864 45152 50514 67352 67728 101028 134704 135456 143123 202056 269408 286246 404112 429369 572492 698777 808224 858738 1144984 1397554 1717476 2096331 2289968 2795108 3434952 4192662 4579936 5590216 6869904 8385324 11180432 11879209 13739808 16770648 22360864 23758418 33541296 35637627 47516836 67082592 71275254 95033672 142550508 190067344 285101016 380134688 570202032 1140404064