Search a number
-
+
1714748940 = 22355477507
BaseRepresentation
bin110011000110100…
…1111111000001100
311102111121021100000
41212031033320030
512002433431230
6442053004300
760331061022
oct14615177014
94374537300
101714748940
117aaa27293
123ba323690
13214341858
14123a44712
15a0818b60
hex6634fe0c

1714748940 has 144 divisors (see below), whose sum is σ = 5509550592. Its totient is φ = 447477696.

The previous prime is 1714748929. The next prime is 1714748953. The reversal of 1714748940 is 498474171.

It is a happy number.

1714748940 is a `hidden beast` number, since 171 + 474 + 8 + 9 + 4 + 0 = 666.

It is a super-2 number, since 2×17147489402 = 5880727854462247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224667 + ... + 232173.

It is an arithmetic number, because the mean of its divisors is an integer number (38260768).

Almost surely, 21714748940 is an apocalyptic number.

1714748940 is a gapful number since it is divisible by the number (10) 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 1714748940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754775296).

1714748940 is an abundant number, since it is smaller than the sum of its proper divisors (3794801652).

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

1714748940 is a wasteful number, since it uses less digits than its factorization.

1714748940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1714748940 is about 41409.5271646514. The cubic root of 1714748940 is about 1196.9247507673.

The spelling of 1714748940 in words is "one billion, seven hundred fourteen million, seven hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 243 270 282 324 405 423 470 486 540 564 705 810 846 940 972 1215 1269 1410 1620 1692 2115 2430 2538 2820 3807 4230 4860 5076 6345 7507 7614 8460 11421 12690 15014 15228 19035 22521 22842 25380 30028 37535 38070 45042 45684 57105 67563 75070 76140 90084 112605 114210 135126 150140 202689 225210 228420 270252 337815 352829 405378 450420 608067 675630 705658 810756 1013445 1058487 1216134 1351260 1411316 1764145 1824201 2026890 2116974 2432268 3040335 3175461 3528290 3648402 4053780 4233948 5292435 6080670 6350922 7056580 7296804 9121005 9526383 10584870 12161340 12701844 15877305 18242010 19052766 21169740 28579149 31754610 36484020 38105532 47631915 57158298 63509220 85737447 95263830 114316596 142895745 171474894 190527660 285791490 342949788 428687235 571582980 857374470 1714748940