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13240003200 = 273521379167
BaseRepresentation
bin11000101010010101…
…00110101010000000
31021011201101211221220
430111022212222000
5204103420100300
610025443115040
7646046112264
oct142512465200
937151354856
1013240003200
115684700406
122696072a80
131330024128
148d85a20a4
1552755dda0
hex3152a6a80

13240003200 has 96 divisors (see below), whose sum is σ = 43609292160. Its totient is φ = 3530664960.

The previous prime is 13240003163. The next prime is 13240003219. The reversal of 13240003200 is 230004231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13240003200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679984 + ... + 699183.

It is an arithmetic number, because the mean of its divisors is an integer number (454263460).

Almost surely, 213240003200 is an apocalyptic number.

13240003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13240003200 is an abundant number, since it is smaller than the sum of its proper divisors (30369288960).

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

13240003200 is a wasteful number, since it uses less digits than its factorization.

13240003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379194 (or 1379177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13240003200 its reverse (230004231), we get a palindrome (13470007431).

The spelling of 13240003200 in words is "thirteen billion, two hundred forty million, three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 1379167 2758334 4137501 5516668 6895835 8275002 11033336 13791670 16550004 20687505 22066672 27583340 33100008 34479175 41375010 44133344 55166680 66200016 68958350 82750020 88266688 103437525 110333360 132400032 137916700 165500040 176533376 206875050 220666720 264800064 275833400 331000080 413750100 441333440 529600128 551666800 662000160 827500200 882666880 1103333600 1324000320 1655000400 2206667200 2648000640 3310000800 4413334400 6620001600 13240003200