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1134486864 = 243371392699
BaseRepresentation
bin100001110011110…
…1110010101010000
32221001201220102000
41003213232111100
54310412034424
6304323554000
740053656610
oct10347562520
92831656360
101134486864
1153242a855
12277b2b900
13151067004
14aa958a40
15698e93c9
hex439ee550

1134486864 has 160 divisors (see below), whose sum is σ = 3749760000. Its totient is φ = 321687936.

The previous prime is 1134486853. The next prime is 1134486883. The reversal of 1134486864 is 4686844311.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418987 + ... + 421685.

It is an arithmetic number, because the mean of its divisors is an integer number (23436000).

Almost surely, 21134486864 is an apocalyptic number.

1134486864 is a gapful number since it is divisible by the number (14) 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 1134486864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880000).

1134486864 is an abundant number, since it is smaller than the sum of its proper divisors (2615273136).

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

1134486864 is a wasteful number, since it uses less digits than its factorization.

1134486864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2850 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1134486864 is about 33682.1445873032. The cubic root of 1134486864 is about 1042.9572095241.

The spelling of 1134486864 in words is "one billion, one hundred thirty-four million, four hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 139 144 168 189 216 252 278 336 378 417 432 504 556 756 834 973 1008 1112 1251 1512 1668 1946 2224 2502 2699 2919 3024 3336 3753 3892 5004 5398 5838 6672 7506 7784 8097 8757 10008 10796 11676 15012 15568 16194 17514 18893 20016 21592 23352 24291 26271 30024 32388 35028 37786 43184 46704 48582 52542 56679 60048 64776 70056 72873 75572 97164 105084 113358 129552 140112 145746 151144 170037 194328 210168 226716 291492 302288 340074 375161 388656 420336 453432 510111 582984 680148 750322 906864 1020222 1125483 1165968 1360296 1500644 2040444 2250966 2626127 2720592 3001288 3376449 4080888 4501932 5252254 6002576 6752898 7878381 8161776 9003864 10129347 10504508 13505796 15756762 18007728 20258694 21009016 23635143 27011592 31513524 40517388 42018032 47270286 54023184 63027048 70905429 81034776 94540572 126054096 141810858 162069552 189081144 283621716 378162288 567243432 1134486864