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11714280 = 2335314767
BaseRepresentation
bin101100101011…
…111011101000
3211001010222020
4230223323220
510444324110
61055024440
7201366264
oct54537350
924033866
1011714280
116681126
123b0b120
132571c36
1417ad0a4
151065d70
hexb2bee8

11714280 has 128 divisors (see below), whose sum is σ = 37601280. Its totient is φ = 2914560.

The previous prime is 11714251. The next prime is 11714299. The reversal of 11714280 is 8241711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11714280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174807 + ... + 174873.

It is an arithmetic number, because the mean of its divisors is an integer number (293760).

Almost surely, 211714280 is an apocalyptic number.

11714280 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 11714280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18800640).

11714280 is an abundant number, since it is smaller than the sum of its proper divisors (25887000).

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

11714280 is a wasteful number, since it uses less digits than its factorization.

11714280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 11714280 is about 3422.6130368477. The cubic root of 11714280 is about 227.1111903279. Note that the first 4 decimals are identical.

Adding to 11714280 its reverse (8241711), we get a palindrome (19955991).

The spelling of 11714280 in words is "eleven million, seven hundred fourteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 47 60 62 67 93 94 120 124 134 141 155 186 188 201 235 248 268 282 310 335 372 376 402 465 470 536 564 620 670 705 744 804 930 940 1005 1128 1240 1340 1410 1457 1608 1860 1880 2010 2077 2680 2820 2914 3149 3720 4020 4154 4371 5640 5828 6231 6298 7285 8040 8308 8742 9447 10385 11656 12462 12596 14570 15745 16616 17484 18894 20770 21855 24924 25192 29140 31155 31490 34968 37788 41540 43710 47235 49848 58280 62310 62980 75576 83080 87420 94470 97619 124620 125960 174840 188940 195238 249240 292857 377880 390476 488095 585714 780952 976190 1171428 1464285 1952380 2342856 2928570 3904760 5857140 11714280