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139311432 = 23321321072
BaseRepresentation
bin10000100110110…
…11100101001000
3100201010202100200
420103123211020
5241130431212
621453532200
73311061531
oct1023334510
9321122320
10139311432
1171701817
123a7a4060
1322b28b00
1414705688
15c36c6dc
hex84db948

139311432 has 108 divisors (see below), whose sum is σ = 412411545. Its totient is φ = 42464448.

The previous prime is 139311353. The next prime is 139311451. The reversal of 139311432 is 234113931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 119115396 + 20196036 = 10914^2 + 4494^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8346.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 139311396 and 139311405.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1301923 + ... + 1302029.

Almost surely, 2139311432 is an apocalyptic number.

139311432 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 139311432

139311432 is an abundant number, since it is smaller than the sum of its proper divisors (273100113).

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

139311432 is a wasteful number, since it uses less digits than its factorization.

139311432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 125 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 139311432 is about 11803.0263915659. The cubic root of 139311432 is about 518.3967285173.

The spelling of 139311432 in words is "one hundred thirty-nine million, three hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 107 117 156 169 214 234 312 321 338 428 468 507 642 676 856 936 963 1014 1284 1352 1391 1521 1926 2028 2568 2782 3042 3852 4056 4173 5564 6084 7704 8346 11128 11449 12168 12519 16692 18083 22898 25038 33384 34347 36166 45796 50076 54249 68694 72332 91592 100152 103041 108498 137388 144664 148837 162747 206082 216996 274776 297674 325494 412164 433992 446511 595348 650988 824328 893022 1190696 1301976 1339533 1786044 1934881 2679066 3572088 3869762 5358132 5804643 7739524 10716264 11609286 15479048 17413929 23218572 34827858 46437144 69655716 139311432