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14989100 = 2252731923
BaseRepresentation
bin111001001011…
…011100101100
31001012112011212
4321023130230
512314122400
61253133552
7241256000
oct71133454
931175155
1014989100
118508595
12502a2b8
13314a6b9
141dc2700
1514b1335
hexe4b72c

14989100 has 144 divisors (see below), whose sum is σ = 41664000. Its totient is φ = 4656960.

The previous prime is 14989097. The next prime is 14989109. The reversal of 14989100 is 198941.

It is not an unprimeable number, because it can be changed into a prime (14989109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651689 + ... + 651711.

Almost surely, 214989100 is an apocalyptic number.

14989100 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 14989100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832000).

14989100 is an abundant number, since it is smaller than the sum of its proper divisors (26674900).

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

14989100 is a wasteful number, since it uses less digits than its factorization.

14989100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 14989100 is about 3871.5759065270. The cubic root of 14989100 is about 246.5614558206.

The spelling of 14989100 in words is "fourteen million, nine hundred eighty-nine thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 23 25 28 35 38 46 49 50 70 76 92 95 98 100 115 133 140 161 175 190 196 230 245 266 322 343 350 380 437 460 475 490 532 575 644 665 686 700 805 874 931 950 980 1127 1150 1225 1330 1372 1610 1715 1748 1862 1900 2185 2254 2300 2450 2660 3059 3220 3325 3430 3724 4025 4370 4508 4655 4900 5635 6118 6517 6650 6860 7889 8050 8575 8740 9310 10925 11270 12236 13034 13300 15295 15778 16100 17150 18620 21413 21850 22540 23275 26068 28175 30590 31556 32585 34300 39445 42826 43700 46550 56350 61180 65170 76475 78890 85652 93100 107065 112700 130340 149891 152950 157780 162925 197225 214130 299782 305900 325850 394450 428260 535325 599564 651700 749455 788900 1070650 1498910 2141300 2997820 3747275 7494550 14989100