[go: up one dir, main page]

Search a number
-
+
14811900 = 2235297509
BaseRepresentation
bin111000100000…
…001011111100
31000212112002220
4320200023330
512242440100
61245245340
7236620245
oct70401374
930775086
1014811900
1183a7444
124b63850
1330b7b4c
141d77ccc
151478aa0
hexe202fc

14811900 has 72 divisors (see below), whose sum is σ = 43382640. Its totient is φ = 3901440.

The previous prime is 14811889. The next prime is 14811911. The reversal of 14811900 is 911841.

It is an interprime number because it is at equal distance from previous prime (14811889) and next prime (14811911).

It is a super-2 number, since 2×148119002 = 438784763220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28846 + ... + 29354.

Almost surely, 214811900 is an apocalyptic number.

14811900 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 14811900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21691320).

14811900 is an abundant number, since it is smaller than the sum of its proper divisors (28570740).

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

14811900 is a wasteful number, since it uses less digits than its factorization.

14811900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 14811900 is about 3848.6231304195. The cubic root of 14811900 is about 245.5859914485.

The spelling of 14811900 in words is "fourteen million, eight hundred eleven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 509 582 970 1018 1164 1455 1527 1940 2036 2425 2545 2910 3054 4850 5090 5820 6108 7275 7635 9700 10180 12725 14550 15270 25450 29100 30540 38175 49373 50900 76350 98746 148119 152700 197492 246865 296238 493730 592476 740595 987460 1234325 1481190 2468650 2962380 3702975 4937300 7405950 14811900