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1145664 = 26341317
BaseRepresentation
bin100010111101101000000
32011012120000
410113231000
5243130124
640320000
712511062
oct4275500
92135500
101145664
11712833
12473000
13311610
1421b732
151796c9
hex117b40

1145664 has 140 divisors (see below), whose sum is σ = 3872484. Its totient is φ = 331776.

The previous prime is 1145659. The next prime is 1145689. The reversal of 1145664 is 4665411.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 627264 = 720^2 + 792^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67384 + ... + 67400.

21145664 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 1145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936242).

1145664 is an abundant number, since it is smaller than the sum of its proper divisors (2726820).

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

1145664 is a wasteful number, since it uses less digits than its factorization.

1145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 35 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1145664 is about 1070.3569498069. The cubic root of 1145664 is about 104.6371146414.

It can be divided in two parts, 114 and 5664, that added together give a triangular number (5778 = T107).

The spelling of 1145664 in words is "one million, one hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 81 96 102 104 108 117 136 144 153 156 162 192 204 208 216 221 234 272 288 306 312 324 351 408 416 432 442 459 468 544 576 612 624 648 663 702 816 832 864 884 918 936 1053 1088 1224 1248 1296 1326 1377 1404 1632 1728 1768 1836 1872 1989 2106 2448 2496 2592 2652 2754 2808 3264 3536 3672 3744 3978 4212 4896 5184 5304 5508 5616 5967 7072 7344 7488 7956 8424 9792 10608 11016 11232 11934 14144 14688 15912 16848 17901 21216 22032 22464 23868 29376 31824 33696 35802 42432 44064 47736 63648 67392 71604 88128 95472 127296 143208 190944 286416 381888 572832 1145664