[go: up one dir, main page]

Search a number
-
+
13141900 = 22521131163
BaseRepresentation
bin110010001000…
…011110001100
3220201200022001
4302020132030
511331020100
61145402044
7216463402
oct62103614
926650261
1013141900
117466782
124499324
132951995
141a61472
151248d6a
hexc8878c

13141900 has 36 divisors (see below), whose sum is σ = 28795032. Its totient is φ = 5205760.

The previous prime is 13141883. The next prime is 13141907. The reversal of 13141900 is 914131.

It is a happy number.

It is a super-2 number, since 2×131419002 = 345419071220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13141907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10719 + ... + 11881.

It is an arithmetic number, because the mean of its divisors is an integer number (799862).

Almost surely, 213141900 is an apocalyptic number.

13141900 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 13141900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397516).

13141900 is an abundant number, since it is smaller than the sum of its proper divisors (15653132).

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

13141900 is a wasteful number, since it uses less digits than its factorization.

13141900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 13141900 is about 3625.1758578033. The cubic root of 13141900 is about 235.9858988032.

It can be divided in two parts, 13141 and 900, that added together give a palindrome (14041).

The spelling of 13141900 in words is "thirteen million, one hundred forty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 1163 2260 2326 2825 4652 5650 5815 11300 11630 23260 29075 58150 116300 131419 262838 525676 657095 1314190 2628380 3285475 6570950 13141900