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1390429872 = 2432135912589
BaseRepresentation
bin101001011100000…
…0100011010110000
310120220100011012200
41102320010122300
510321422223442
6345545423200
746312313256
oct12270043260
93526304180
101390429872
116539525a7
1232979ab00
131920aa790
14d29405d6
158210434c
hex52e046b0

1390429872 has 120 divisors (see below), whose sum is σ = 4261966800. Its totient is φ = 420539904.

The previous prime is 1390429867. The next prime is 1390429877. The reversal of 1390429872 is 2789240931.

It is an interprime number because it is at equal distance from previous prime (1390429867) and next prime (1390429877).

It is not an unprimeable number, because it can be changed into a prime (1390429877) 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, 104154 + ... + 116742.

It is an arithmetic number, because the mean of its divisors is an integer number (35516390).

Almost surely, 21390429872 is an apocalyptic number.

1390429872 is a gapful number since it is divisible by the number (12) 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 1390429872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130983400).

1390429872 is an abundant number, since it is smaller than the sum of its proper divisors (2871536928).

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

1390429872 is a wasteful number, since it uses less digits than its factorization.

1390429872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12675 (or 12666 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1390429872 is about 37288.4683514890. The cubic root of 1390429872 is about 1116.1340649055.

The spelling of 1390429872 in words is "one billion, three hundred ninety million, four hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 59 72 78 104 117 118 144 156 177 208 234 236 312 354 468 472 531 624 708 767 936 944 1062 1416 1534 1872 2124 2301 2832 3068 4248 4602 6136 6903 8496 9204 12272 12589 13806 18408 25178 27612 36816 37767 50356 55224 75534 100712 110448 113301 151068 163657 201424 226602 302136 327314 453204 490971 604272 654628 742751 906408 981942 1309256 1472913 1485502 1812816 1963884 2228253 2618512 2945826 2971004 3927768 4456506 5891652 5942008 6684759 7855536 8913012 9655763 11783304 11884016 13369518 17826024 19311526 23566608 26739036 28967289 35652048 38623052 53478072 57934578 77246104 86901867 106956144 115869156 154492208 173803734 231738312 347607468 463476624 695214936 1390429872