Search a number
-
+
13810003800 = 2335228381331
BaseRepresentation
bin11001101110010001…
…11110111101011000
31022122102221212210020
430313020332331120
5211240330110200
610202204150440
7666140044515
oct146710767530
938572855706
1013810003800
11594742928a
122814b38420
1313c11480a8
1495017a30c
1555c602ea0
hex33723ef58

13810003800 has 96 divisors (see below), whose sum is σ = 42962815680. Its totient is φ = 3669609600.

The previous prime is 13810003789. The next prime is 13810003807. The reversal of 13810003800 is 830001831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13810003807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129135 + ... + 210465.

It is an arithmetic number, because the mean of its divisors is an integer number (447529330).

Almost surely, 213810003800 is an apocalyptic number.

13810003800 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 13810003800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481407840).

13810003800 is an abundant number, since it is smaller than the sum of its proper divisors (29152811880).

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

13810003800 is a wasteful number, since it uses less digits than its factorization.

13810003800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81633 (or 81624 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 13810003800 in words is "thirteen billion, eight hundred ten million, three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 283 300 566 600 849 1132 1415 1698 2264 2830 3396 4245 5660 6792 7075 8490 11320 14150 16980 21225 28300 33960 42450 56600 81331 84900 162662 169800 243993 325324 406655 487986 650648 813310 975972 1219965 1626620 1951944 2033275 2439930 3253240 4066550 4879860 6099825 8133100 9759720 12199650 16266200 23016673 24399300 46033346 48798600 69050019 92066692 115083365 138100038 184133384 230166730 276200076 345250095 460333460 552400152 575416825 690500190 920666920 1150833650 1381000380 1726250475 2301667300 2762000760 3452500950 4603334600 6905001900 13810003800