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1153103364 = 223473891307
BaseRepresentation
bin100010010111010…
…1111011000000100
32222100202201110000
41010232233120010
54330143301424
6310231001300
740401134250
oct10456573004
92870681400
101153103364
11541995696
12282209230
13154b847aa
14ad203260
156b3753c9
hex44baf604

1153103364 has 120 divisors (see below), whose sum is σ = 3456573120. Its totient is φ = 328359744.

The previous prime is 1153103363. The next prime is 1153103411. The reversal of 1153103364 is 4633013511.

1153103364 is a `hidden beast` number, since 1 + 15 + 310 + 336 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1153103363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881599 + ... + 882905.

It is an arithmetic number, because the mean of its divisors is an integer number (28804776).

Almost surely, 21153103364 is an apocalyptic number.

1153103364 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 1153103364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728286560).

1153103364 is an abundant number, since it is smaller than the sum of its proper divisors (2303469756).

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

1153103364 is a wasteful number, since it uses less digits than its factorization.

1153103364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1153103364 is about 33957.3756936545. The cubic root of 1153103364 is about 1048.6311304862.

Adding to 1153103364 its reverse (4633013511), we get a palindrome (5786116875).

The spelling of 1153103364 in words is "one billion, one hundred fifty-three million, one hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 389 567 756 778 1134 1167 1307 1556 2268 2334 2614 2723 3501 3921 4668 5228 5446 7002 7842 8169 9149 10503 10892 11763 14004 15684 16338 18298 21006 23526 24507 27447 31509 32676 35289 36596 42012 47052 49014 54894 63018 70578 73521 82341 98028 105867 109788 126036 141156 147042 164682 211734 220563 247023 294084 329364 423468 441126 494046 508423 741069 882252 988092 1016846 1482138 1525269 2033692 2964276 3050538 3558961 4575807 6101076 7117922 9151614 10676883 13727421 14235844 18303228 21353766 27454842 32030649 41182263 42707532 54909684 64061298 82364526 96091947 128122596 164729052 192183894 288275841 384367788 576551682 1153103364