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14158900 = 22527113179
BaseRepresentation
bin110110000000…
…110000110100
3222122100100201
4312000300310
512111041100
61223250244
7231230410
oct66006064
928570321
1014158900
117aa0878
1248a9984
132c19862
141c47d40
15139a36a
hexd80c34

14158900 has 72 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 4784640.

The previous prime is 14158883. The next prime is 14158913. The reversal of 14158900 is 985141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79011 + ... + 79189.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 214158900 is an apocalyptic number.

14158900 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 14158900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

14158900 is an abundant number, since it is smaller than the sum of its proper divisors (21463820).

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

14158900 is a wasteful number, since it uses less digits than its factorization.

14158900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 14158900 is about 3762.8313807557. The cubic root of 14158900 is about 241.9226353798.

The spelling of 14158900 in words is "fourteen million, one hundred fifty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 113 140 175 179 226 350 358 452 565 700 716 791 895 1130 1253 1582 1790 2260 2506 2825 3164 3580 3955 4475 5012 5650 6265 7910 8950 11300 12530 15820 17900 19775 20227 25060 31325 39550 40454 62650 79100 80908 101135 125300 141589 202270 283178 404540 505675 566356 707945 1011350 1415890 2022700 2831780 3539725 7079450 14158900