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14057550 = 235521389
BaseRepresentation
bin110101101000…
…000001001110
3222110012100000
4311220001032
512044320200
61221145130
7230326053
oct65500116
928405300
1014057550
117a31711
12485b1a6
132bb26a0
141c1d02a
15137a300
hexd6804e

14057550 has 144 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 3421440.

The previous prime is 14057509. The next prime is 14057551. The reversal of 14057550 is 5575041.

14057550 is a `hidden beast` number, since 1 + 40 + 575 + 50 = 666.

It is a super-3 number, since 3×140575503 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14057551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157906 + ... + 157994.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 214057550 is an apocalyptic number.

14057550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14057550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

14057550 is an abundant number, since it is smaller than the sum of its proper divisors (28595970).

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

14057550 is a wasteful number, since it uses less digits than its factorization.

14057550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 14057550 is about 3749.3399419098. The cubic root of 14057550 is about 241.3440218058.

It can be divided in two parts, 140575 and 50, that added together give a square (140625 = 3752).

The spelling of 14057550 in words is "fourteen million, fifty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 89 90 117 130 135 150 162 178 195 225 234 243 267 270 325 351 390 405 445 450 486 534 585 650 675 702 801 810 890 975 1053 1157 1170 1215 1335 1350 1602 1755 1950 2025 2106 2225 2314 2403 2430 2670 2925 3159 3471 3510 4005 4050 4450 4806 5265 5785 5850 6075 6318 6675 6942 7209 8010 8775 10413 10530 11570 12015 12150 13350 14418 15795 17355 17550 20025 20826 21627 24030 26325 28925 31239 31590 34710 36045 40050 43254 52065 52650 57850 60075 62478 72090 78975 86775 93717 104130 108135 120150 156195 157950 173550 180225 187434 216270 260325 281151 312390 360450 468585 520650 540675 562302 780975 937170 1081350 1405755 1561950 2342925 2811510 4685850 7028775 14057550