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14450800 = 2452713397
BaseRepresentation
bin110111001000…
…000001110000
31000012011202211
4313020001300
512144411200
61233421504
7233554420
oct67100160
930164684
1014450800
118180111
124a0a894
132cbc690
141cc2480
151406aba
hexdc8070

14450800 has 120 divisors (see below), whose sum is σ = 42837536. Its totient is φ = 4561920.

The previous prime is 14450791. The next prime is 14450803. The reversal of 14450800 is 805441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14450803) 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, 36202 + ... + 36598.

Almost surely, 214450800 is an apocalyptic number.

14450800 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 14450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21418768).

14450800 is an abundant number, since it is smaller than the sum of its proper divisors (28386736).

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

14450800 is a wasteful number, since it uses less digits than its factorization.

14450800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 14450800 is about 3801.4207870216. The cubic root of 14450800 is about 243.5738328221.

It can be divided in two parts, 14450 and 800, that multiplied together give a square (11560000 = 34002).

The spelling of 14450800 in words is "fourteen million, four hundred fifty thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 397 400 455 520 560 650 700 728 794 910 1040 1300 1400 1456 1588 1820 1985 2275 2600 2779 2800 3176 3640 3970 4550 5161 5200 5558 6352 7280 7940 9100 9925 10322 11116 13895 15880 18200 19850 20644 22232 25805 27790 31760 36127 36400 39700 41288 44464 51610 55580 69475 72254 79400 82576 103220 111160 129025 138950 144508 158800 180635 206440 222320 258050 277900 289016 361270 412880 516100 555800 578032 722540 903175 1032200 1111600 1445080 1806350 2064400 2890160 3612700 7225400 14450800