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11298320 = 2451137347
BaseRepresentation
bin101011000110…
…011000010000
3210021000101022
4223012120100
510343021240
61042055012
7165014465
oct53063020
923230338
1011298320
116417660
12394a468
1324577c7
14170166c
15ed29b5
hexac6610

11298320 has 80 divisors (see below), whose sum is σ = 29515968. Its totient is φ = 3985920.

The previous prime is 11298311. The next prime is 11298347. The reversal of 11298320 is 2389211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11298320.

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, 32387 + ... + 32733.

Almost surely, 211298320 is an apocalyptic number.

11298320 is a gapful number since it is divisible by the number (10) 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 11298320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757984).

11298320 is an abundant number, since it is smaller than the sum of its proper divisors (18217648).

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

11298320 is a wasteful number, since it uses less digits than its factorization.

11298320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 11298320 is about 3361.2973685766. The cubic root of 11298320 is about 224.3905813157.

It can be divided in two parts, 1129 and 8320, that added together give a palindrome (9449).

The spelling of 11298320 in words is "eleven million, two hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 347 370 407 440 592 694 740 814 880 1388 1480 1628 1735 2035 2776 2960 3256 3470 3817 4070 5552 6512 6940 7634 8140 12839 13880 15268 16280 19085 25678 27760 30536 32560 38170 51356 61072 64195 76340 102712 128390 141229 152680 205424 256780 282458 305360 513560 564916 706145 1027120 1129832 1412290 2259664 2824580 5649160 11298320