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319750140 = 223523263881
BaseRepresentation
bin10011000011101…
…111111111111100
3211021122222201210
4103003233333330
51123324001030
651421204420
710631555103
oct2303577774
9737588653
10319750140
11154544016
128b100710
1351324588
143067503a
151d110bb0
hex130efffc

319750140 has 96 divisors (see below), whose sum is σ = 938843136. Its totient is φ = 81157120.

The previous prime is 319750139. The next prime is 319750153. The reversal of 319750140 is 41057913.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 319750098 and 319750107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362500 + ... + 363380.

It is an arithmetic number, because the mean of its divisors is an integer number (9779616).

Almost surely, 2319750140 is an apocalyptic number.

319750140 is a gapful number since it is divisible by the number (30) 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 319750140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469421568).

319750140 is an abundant number, since it is smaller than the sum of its proper divisors (619092996).

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

319750140 is a wasteful number, since it uses less digits than its factorization.

319750140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 319750140 is about 17881.5586568957. The cubic root of 319750140 is about 683.8123095706.

The spelling of 319750140 in words is "three hundred nineteen million, seven hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 263 276 345 460 526 690 789 881 1052 1315 1380 1578 1762 2630 2643 3156 3524 3945 4405 5260 5286 6049 7890 8810 10572 12098 13215 15780 17620 18147 20263 24196 26430 30245 36294 40526 52860 60490 60789 72588 81052 90735 101315 120980 121578 181470 202630 231703 243156 303945 362940 405260 463406 607890 695109 926812 1158515 1215780 1390218 2317030 2780436 3475545 4634060 5329169 6951090 10658338 13902180 15987507 21316676 26645845 31975014 53291690 63950028 79937535 106583380 159875070 319750140