Search a number
-
+
1110269664 = 253271075147
BaseRepresentation
bin100001000101101…
…0101111011100000
32212101011112122200
41002023111323200
54233212112124
6302100533200
736341064540
oct10213257340
92771145580
101110269664
1151a79a039
1226b9b1200
131490381ca
14a7653320
1567713bc9
hex422d5ee0

1110269664 has 144 divisors (see below), whose sum is σ = 3642807168. Its totient is φ = 314194176.

The previous prime is 1110269621. The next prime is 1110269683. The reversal of 1110269664 is 4669620111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213139 + ... + 218285.

It is an arithmetic number, because the mean of its divisors is an integer number (25297272).

Almost surely, 21110269664 is an apocalyptic number.

1110269664 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 1110269664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821403584).

1110269664 is an abundant number, since it is smaller than the sum of its proper divisors (2532537504).

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

1110269664 is a wasteful number, since it uses less digits than its factorization.

1110269664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1110269664 is about 33320.7092361492. The cubic root of 1110269664 is about 1035.4826454412.

Adding to 1110269664 its reverse (4669620111), we get a palindrome (5779889775).

The spelling of 1110269664 in words is "one billion, one hundred ten million, two hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 107 112 126 144 168 214 224 252 288 321 336 428 504 642 672 749 856 963 1008 1284 1498 1712 1926 2016 2247 2568 2996 3424 3852 4494 5136 5147 5992 6741 7704 8988 10272 10294 11984 13482 15408 15441 17976 20588 23968 26964 30816 30882 35952 36029 41176 46323 53928 61764 71904 72058 82352 92646 107856 108087 123528 144116 164704 185292 215712 216174 247056 288232 324261 370584 432348 494112 550729 576464 648522 741168 864696 1101458 1152928 1297044 1482336 1652187 1729392 2202916 2594088 3304374 3458784 3855103 4405832 4956561 5188176 6608748 7710206 8811664 9913122 10376352 11565309 13217496 15420412 17623328 19826244 23130618 26434992 30840824 34695927 39652488 46261236 52869984 61681648 69391854 79304976 92522472 123363296 138783708 158609952 185044944 277567416 370089888 555134832 1110269664