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319639140 = 223253157283
BaseRepresentation
bin10011000011010…
…100111001100100
3211021110100110200
4103003110321210
51123311423030
651414550500
710630613352
oct2303247144
9737410420
10319639140
11154478687
128b068430
13512b5bb2
14306467d2
151d0dcd60
hex130d4e64

319639140 has 72 divisors (see below), whose sum is σ = 1000866048. Its totient is φ = 82486080.

The previous prime is 319639129. The next prime is 319639181. The reversal of 319639140 is 41936913.

319639140 is a `hidden beast` number, since 3 + 1 + 9 + 639 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 319639095 and 319639104.

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 23 ways as a sum of consecutive naturals, for example, 23062 + ... + 34221.

Almost surely, 2319639140 is an apocalyptic number.

319639140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

319639140 is an abundant number, since it is smaller than the sum of its proper divisors (681226908).

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

319639140 is a wasteful number, since it uses less digits than its factorization.

319639140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57329 (or 57324 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 319639140 is about 17878.4546312034. The cubic root of 319639140 is about 683.7331728305.

The spelling of 319639140 in words is "three hundred nineteen million, six hundred thirty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 57283 114566 171849 229132 286415 343698 515547 572830 687396 859245 1031094 1145660 1718490 1775773 2062188 2577735 3436980 3551546 5155470 5327319 7103092 8878865 10310940 10654638 15981957 17757730 21309276 26636595 31963914 35515460 53273190 63927828 79909785 106546380 159819570 319639140