Search a number
-
+
23140740 = 22357217463
BaseRepresentation
bin101100001000…
…1100110000100
31121112200010110
41120101212010
521411000430
62143553020
7400456500
oct130214604
947480113
1023140740
1112075a87
1278bb770
134a42b5c
143105300
1520717b0
hex1611984

23140740 has 144 divisors (see below), whose sum is σ = 79978752. Its totient is φ = 4967424.

The previous prime is 23140729. The next prime is 23140771. The reversal of 23140740 is 4704132.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 49749 + ... + 50211.

It is an arithmetic number, because the mean of its divisors is an integer number (555408).

Almost surely, 223140740 is an apocalyptic number.

23140740 is a gapful number since it is divisible by the number (20) 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 23140740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39989376).

23140740 is an abundant number, since it is smaller than the sum of its proper divisors (56838012).

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

23140740 is a wasteful number, since it uses less digits than its factorization.

23140740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 23140740 is about 4810.4823043017. The cubic root of 23140740 is about 284.9655852566.

Adding to 23140740 its reverse (4704132), we get a palindrome (27844872).

The spelling of 23140740 in words is "twenty-three million, one hundred forty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 463 476 490 510 588 595 714 735 833 926 980 1020 1190 1389 1428 1470 1666 1785 1852 2315 2380 2499 2778 2940 3241 3332 3570 4165 4630 4998 5556 6482 6945 7140 7871 8330 9260 9723 9996 12495 12964 13890 15742 16205 16660 19446 22687 23613 24990 27780 31484 32410 38892 39355 45374 47226 48615 49980 55097 64820 68061 78710 90748 94452 97230 110194 113435 118065 136122 157420 165291 194460 220388 226870 236130 272244 275485 330582 340305 385679 453740 472260 550970 661164 680610 771358 826455 1101940 1157037 1361220 1542716 1652910 1928395 2314074 3305820 3856790 4628148 5785185 7713580 11570370 23140740