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14941296 = 24321943127
BaseRepresentation
bin111000111111…
…110001110000
31001010002121100
4320333301300
512311110141
61252124400
7240666426
oct70776160
931102540
1014941296
118485687
125006700
133131a06
141dad116
1514a20b6
hexe3fc70

14941296 has 120 divisors (see below), whose sum is σ = 45393920. Its totient is φ = 4572288.

The previous prime is 14941291. The next prime is 14941313. The reversal of 14941296 is 69214941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 14941296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14941291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117585 + ... + 117711.

Almost surely, 214941296 is an apocalyptic number.

14941296 is a gapful number since it is divisible by the number (16) 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 14941296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22696960).

14941296 is an abundant number, since it is smaller than the sum of its proper divisors (30452624).

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

14941296 is a wasteful number, since it uses less digits than its factorization.

14941296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 14941296 is about 3865.3972628955. The cubic root of 14941296 is about 246.2990612306.

The spelling of 14941296 in words is "fourteen million, nine hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 43 48 57 72 76 86 114 127 129 144 152 171 172 228 254 258 304 342 344 381 387 456 508 516 684 688 762 774 817 912 1016 1032 1143 1368 1524 1548 1634 2032 2064 2286 2413 2451 2736 3048 3096 3268 4572 4826 4902 5461 6096 6192 6536 7239 7353 9144 9652 9804 10922 13072 14478 14706 16383 18288 19304 19608 21717 21844 28956 29412 32766 38608 39216 43434 43688 49149 57912 58824 65532 86868 87376 98298 103759 115824 117648 131064 173736 196596 207518 262128 311277 347472 393192 415036 622554 786384 830072 933831 1245108 1660144 1867662 2490216 3735324 4980432 7470648 14941296