Search a number
-
+
1393629360 = 243541141629
BaseRepresentation
bin101001100010001…
…0001100010110000
310121010100201002020
41103010101202300
510323232114420
6350142151440
746351440234
oct12304214260
93533321066
101393629360
11655738402
1232a882580
1319295ab76
14d31345c4
1582537340
hex531118b0

1393629360 has 80 divisors (see below), whose sum is σ = 4425654240. Its totient is φ = 362567680.

The previous prime is 1393629343. The next prime is 1393629371. The reversal of 1393629360 is 639263931.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 60975 + ... + 80654.

It is an arithmetic number, because the mean of its divisors is an integer number (55320678).

Almost surely, 21393629360 is an apocalyptic number.

1393629360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1393629360 is an abundant number, since it is smaller than the sum of its proper divisors (3032024880).

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

1393629360 is a wasteful number, since it uses less digits than its factorization.

1393629360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141686 (or 141680 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 42.

The square root of 1393629360 is about 37331.3455423187. The cubic root of 1393629360 is about 1116.9895130468.

The spelling of 1393629360 in words is "one billion, three hundred ninety-three million, six hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 141629 283258 424887 566516 708145 849774 1133032 1416290 1699548 2124435 2266064 2832580 3399096 4248870 5665160 5806789 6798192 8497740 11330320 11613578 16995480 17420367 23227156 29033945 33990960 34840734 46454312 58067890 69681468 87101835 92908624 116135780 139362936 174203670 232271560 278725872 348407340 464543120 696814680 1393629360