Search a number
-
+
30713040 = 2433559241
BaseRepresentation
bin111010100101…
…0010011010000
32010210101101000
41311022103100
530330304130
63014142000
7522025251
oct165122320
963711330
1030713040
1116378186
12a351900
1364946c7
144116b28
152a6a260
hex1d4a4d0

30713040 has 160 divisors (see below), whose sum is σ = 108028800. Its totient is φ = 8017920.

The previous prime is 30713029. The next prime is 30713041. The reversal of 30713040 is 4031703.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30713041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127320 + ... + 127560.

It is an arithmetic number, because the mean of its divisors is an integer number (675180).

Almost surely, 230713040 is an apocalyptic number.

30713040 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 30713040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54014400).

30713040 is an abundant number, since it is smaller than the sum of its proper divisors (77315760).

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

30713040 is a wasteful number, since it uses less digits than its factorization.

30713040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 30713040 is about 5541.9346802358. The cubic root of 30713040 is about 313.1657571817.

Adding to 30713040 its reverse (4031703), we get a palindrome (34744743).

The spelling of 30713040 in words is "thirty million, seven hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 59 60 72 80 90 108 118 120 135 144 177 180 216 236 240 241 270 295 354 360 432 472 482 531 540 590 708 720 723 885 944 964 1062 1080 1180 1205 1416 1446 1593 1770 1928 2124 2160 2169 2360 2410 2655 2832 2892 3186 3540 3615 3856 4248 4338 4720 4820 5310 5784 6372 6507 7080 7230 7965 8496 8676 9640 10620 10845 11568 12744 13014 14160 14219 14460 15930 17352 19280 21240 21690 25488 26028 28438 28920 31860 32535 34704 42480 42657 43380 52056 56876 57840 63720 65070 71095 85314 86760 104112 113752 127440 127971 130140 142190 170628 173520 213285 227504 255942 260280 284380 341256 383913 426570 511884 520560 568760 639855 682512 767826 853140 1023768 1137520 1279710 1535652 1706280 1919565 2047536 2559420 3071304 3412560 3839130 5118840 6142608 7678260 10237680 15356520 30713040