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11310480 = 2432523683
BaseRepresentation
bin101011001001…
…010110010000
3210021122001200
4223021112100
510343413410
61042231200
7165065106
oct53112620
923248050
1011310480
116425805
123955500
1324601bc
141705c76
15ed63c0
hexac9590

11310480 has 120 divisors (see below), whose sum is σ = 39693888. Its totient is φ = 2880768.

The previous prime is 11310469. The next prime is 11310511. The reversal of 11310480 is 8401311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 16219 + ... + 16901.

Almost surely, 211310480 is an apocalyptic number.

11310480 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 11310480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846944).

11310480 is an abundant number, since it is smaller than the sum of its proper divisors (28383408).

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

11310480 is a wasteful number, since it uses less digits than its factorization.

11310480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11310480 is about 3363.1057075269. The cubic root of 11310480 is about 224.4710537858.

Adding to 11310480 its reverse (8401311), we get a palindrome (19711791).

The spelling of 11310480 in words is "eleven million, three hundred ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 683 690 720 828 920 1035 1104 1366 1380 1656 1840 2049 2070 2732 2760 3312 3415 4098 4140 5464 5520 6147 6830 8196 8280 10245 10928 12294 13660 15709 16392 16560 20490 24588 27320 30735 31418 32784 40980 47127 49176 54640 61470 62836 78545 81960 94254 98352 122940 125672 141381 157090 163920 188508 235635 245880 251344 282762 314180 377016 471270 491760 565524 628360 706905 754032 942540 1131048 1256720 1413810 1885080 2262096 2827620 3770160 5655240 11310480