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1369349840 = 24529220353
BaseRepresentation
bin101000110011110…
…1001111011010000
310112102200011211202
41101213221323100
510301023143330
6343513530332
745635165405
oct12147517320
93472604752
101369349840
11642a64891
123227139a8
1318a9098a1
14cdc142ac
158033d445
hex519e9ed0

1369349840 has 60 divisors (see below), whose sum is σ = 3297470124. Its totient is φ = 528826368.

The previous prime is 1369349833. The next prime is 1369349867. The reversal of 1369349840 is 489439631.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16875664 + 1352474176 = 4108^2 + 36776^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57104 + ... + 77456.

Almost surely, 21369349840 is an apocalyptic number.

1369349840 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 1369349840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648735062).

1369349840 is an abundant number, since it is smaller than the sum of its proper divisors (1928120284).

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

1369349840 is a wasteful number, since it uses less digits than its factorization.

1369349840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20424 (or 20389 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 1369349840 is about 37004.7272655805. The cubic root of 1369349840 is about 1110.4648216926.

The spelling of 1369349840 in words is "one billion, three hundred sixty-nine million, three hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 841 1160 1682 2320 3364 4205 6728 8410 13456 16820 20353 33640 40706 67280 81412 101765 162824 203530 325648 407060 590237 814120 1180474 1628240 2360948 2951185 4721896 5902370 9443792 11804740 17116873 23609480 34233746 47218960 68467492 85584365 136934984 171168730 273869968 342337460 684674920 1369349840