Search a number
-
+
14750100 = 223552607
BaseRepresentation
bin111000010001…
…000110010100
31000202101100000
4320101012110
512234000400
61244051300
7236242131
oct70210624
930671300
1014750100
118364a72
124b33b30
133095991
141d5d588
151465600
hexe11194

14750100 has 108 divisors (see below), whose sum is σ = 48024704. Its totient is φ = 3926880.

The previous prime is 14750093. The next prime is 14750123. The reversal of 14750100 is 105741.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23997 + ... + 24603.

Almost surely, 214750100 is an apocalyptic number.

14750100 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 14750100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24012352).

14750100 is an abundant number, since it is smaller than the sum of its proper divisors (33274604).

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

14750100 is a wasteful number, since it uses less digits than its factorization.

14750100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 14750100 is about 3840.5858928033. The cubic root of 14750100 is about 245.2439607973.

Adding to 14750100 its reverse (105741), we get a palindrome (14855841).

The spelling of 14750100 in words is "fourteen million, seven hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 607 675 810 900 972 1214 1215 1350 1620 1821 2025 2428 2430 2700 3035 3642 4050 4860 5463 6070 6075 7284 8100 9105 10926 12140 12150 15175 16389 18210 21852 24300 27315 30350 32778 36420 45525 49167 54630 60700 65556 81945 91050 98334 109260 136575 147501 163890 182100 196668 245835 273150 295002 327780 409725 491670 546300 590004 737505 819450 983340 1229175 1475010 1638900 2458350 2950020 3687525 4916700 7375050 14750100