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14896980 = 2233572563
BaseRepresentation
bin111000110100…
…111101010100
31001000211211000
4320310331110
512303200410
61251143300
7240423300
oct70647524
931024730
1014896980
11845535a
124ba4b30
1331177a7
141d9ad00
151493dc0
hexe34f54

14896980 has 144 divisors (see below), whose sum is σ = 54008640. Its totient is φ = 3398976.

The previous prime is 14896967. The next prime is 14896997. The reversal of 14896980 is 8969841.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26179 + ... + 26741.

It is an arithmetic number, because the mean of its divisors is an integer number (375060).

Almost surely, 214896980 is an apocalyptic number.

14896980 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 14896980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27004320).

14896980 is an abundant number, since it is smaller than the sum of its proper divisors (39111660).

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

14896980 is a wasteful number, since it uses less digits than its factorization.

14896980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 14896980 is about 3859.6606068410. The cubic root of 14896980 is about 246.0553117743.

It can be divided in two parts, 14896 and 980, that added together give a square (15876 = 1262).

The spelling of 14896980 in words is "fourteen million, eight hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 563 588 630 735 756 882 945 980 1126 1260 1323 1470 1689 1764 1890 2205 2252 2646 2815 2940 3378 3780 3941 4410 5067 5292 5630 6615 6756 7882 8445 8820 10134 11260 11823 13230 15201 15764 16890 19705 20268 23646 25335 26460 27587 30402 33780 35469 39410 47292 50670 55174 59115 60804 70938 76005 78820 82761 101340 106407 110348 118230 137935 141876 152010 165522 177345 212814 236460 248283 275870 304020 331044 354690 413805 425628 496566 532035 551740 709380 744849 827610 993132 1064070 1241415 1489698 1655220 2128140 2482830 2979396 3724245 4965660 7448490 14896980