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14944300 = 2252737577
BaseRepresentation
bin111001000000…
…100000101100
31001010020201121
4321000200230
512311204200
61252150324
7241011250
oct71004054
931106647
1014944300
118487968
1250083a4
1331331a7
141db0260
1514a2e1a
hexe4082c

14944300 has 72 divisors (see below), whose sum is σ = 38129504. Its totient is φ = 4976640.

The previous prime is 14944291. The next prime is 14944301. The reversal of 14944300 is 344941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14944301) 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, 25612 + ... + 26188.

Almost surely, 214944300 is an apocalyptic number.

14944300 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 14944300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19064752).

14944300 is an abundant number, since it is smaller than the sum of its proper divisors (23185204).

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

14944300 is a wasteful number, since it uses less digits than its factorization.

14944300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 14944300 is about 3865.7858192093. The cubic root of 14944300 is about 246.3155665547.

The spelling of 14944300 in words is "fourteen million, nine hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 577 700 740 925 1036 1154 1295 1850 2308 2590 2885 3700 4039 5180 5770 6475 8078 11540 12950 14425 16156 20195 21349 25900 28850 40390 42698 57700 80780 85396 100975 106745 149443 201950 213490 298886 403900 426980 533725 597772 747215 1067450 1494430 2134900 2988860 3736075 7472150 14944300