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14149800 = 23325271123
BaseRepresentation
bin110101111110…
…100010101000
3222121212212200
4311332202220
512110243200
61223140200
7231162030
oct65764250
928555780
1014149800
117a94a55
1248a4660
132c15682
141c448c0
151397800
hexd7e8a8

14149800 has 144 divisors (see below), whose sum is σ = 54356640. Its totient is φ = 3231360.

The previous prime is 14149789. The next prime is 14149829. The reversal of 14149800 is 894141.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12039 + ... + 13161.

Almost surely, 214149800 is an apocalyptic number.

14149800 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 14149800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27178320).

14149800 is an abundant number, since it is smaller than the sum of its proper divisors (40206840).

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

14149800 is a wasteful number, since it uses less digits than its factorization.

14149800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14149800 is about 3761.6219905780. The cubic root of 14149800 is about 241.8707959528.

The spelling of 14149800 in words is "fourteen million, one hundred forty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1123 1260 1400 1575 1800 2100 2246 2520 3150 3369 4200 4492 5615 6300 6738 7861 8984 10107 11230 12600 13476 15722 16845 20214 22460 23583 26952 28075 31444 33690 39305 40428 44920 47166 50535 56150 62888 67380 70749 78610 80856 84225 94332 101070 112300 117915 134760 141498 157220 168450 188664 196525 202140 224600 235830 252675 282996 314440 336900 353745 393050 404280 471660 505350 565992 589575 673800 707490 786100 943320 1010700 1179150 1414980 1572200 1768725 2021400 2358300 2829960 3537450 4716600 7074900 14149800