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14996640 = 2535157199
BaseRepresentation
bin111001001101…
…010010100000
31001012220112010
4321031102200
512314343030
61253232520
7241316661
oct71152240
931186463
1014996640
11851321a
125032740
133150c69
141dc5368
1514b36b0
hexe4d4a0

14996640 has 96 divisors (see below), whose sum is σ = 47779200. Its totient is φ = 3953664.

The previous prime is 14996633. The next prime is 14996647. The reversal of 14996640 is 4669941.

It is an interprime number because it is at equal distance from previous prime (14996633) and next prime (14996647).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×149966402 = 449798422579200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14996647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75261 + ... + 75459.

It is an arithmetic number, because the mean of its divisors is an integer number (497700).

Almost surely, 214996640 is an apocalyptic number.

14996640 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 14996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23889600).

14996640 is an abundant number, since it is smaller than the sum of its proper divisors (32782560).

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

14996640 is a wasteful number, since it uses less digits than its factorization.

14996640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 14996640 is about 3872.5495477786. The cubic root of 14996640 is about 246.6027916744.

The spelling of 14996640 in words is "fourteen million, nine hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 157 160 199 240 314 398 471 480 597 628 785 796 942 995 1194 1256 1570 1592 1884 1990 2355 2388 2512 2985 3140 3184 3768 3980 4710 4776 5024 5970 6280 6368 7536 7960 9420 9552 11940 12560 15072 15920 18840 19104 23880 25120 31243 31840 37680 47760 62486 75360 93729 95520 124972 156215 187458 249944 312430 374916 468645 499888 624860 749832 937290 999776 1249720 1499664 1874580 2499440 2999328 3749160 4998880 7498320 14996640