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14991360 = 2143561
BaseRepresentation
bin111001001100…
…000000000000
31001012122021120
4321030000000
512314210420
61253152240
7241265406
oct71140000
931178246
1014991360
11850a25a
12502b680
13314b737
141dc3476
1514b1d40
hexe4c000

14991360 has 120 divisors (see below), whose sum is σ = 48757296. Its totient is φ = 3932160.

The previous prime is 14991349. The next prime is 14991367. The reversal of 14991360 is 6319941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14991367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245730 + ... + 245790.

Almost surely, 214991360 is an apocalyptic number.

14991360 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 14991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24378648).

14991360 is an abundant number, since it is smaller than the sum of its proper divisors (33765936).

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

14991360 is an frugal number, since it uses more digits than its factorization.

14991360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 14991360 is about 3871.8677663371. The cubic root of 14991360 is about 246.5738470669.

It can be divided in two parts, 14991 and 360, that added together give a palindrome (15351).

The spelling of 14991360 in words is "fourteen million, nine hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 256 305 320 366 384 480 488 512 610 640 732 768 915 960 976 1024 1220 1280 1464 1536 1830 1920 1952 2048 2440 2560 2928 3072 3660 3840 3904 4096 4880 5120 5856 6144 7320 7680 7808 8192 9760 10240 11712 12288 14640 15360 15616 16384 19520 20480 23424 24576 29280 30720 31232 39040 40960 46848 49152 58560 61440 62464 78080 81920 93696 117120 122880 124928 156160 187392 234240 245760 249856 312320 374784 468480 499712 624640 749568 936960 999424 1249280 1499136 1873920 2498560 2998272 3747840 4997120 7495680 14991360