Search a number
-
+
40023720 = 23345111123
BaseRepresentation
bin1001100010101…
…1011010101000
32210022102020000
42120223122220
540221224340
63545503000
7664124142
oct230533250
983272200
1040023720
1120657460
12114a1a60
1383a4599
14545bc92
1537a8d30
hex262b6a8

40023720 has 160 divisors (see below), whose sum is σ = 146884320. Its totient is φ = 9694080.

The previous prime is 40023701. The next prime is 40023733. The reversal of 40023720 is 2732004.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 40023693 and 40023702.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35079 + ... + 36201.

It is an arithmetic number, because the mean of its divisors is an integer number (918027).

Almost surely, 240023720 is an apocalyptic number.

40023720 is a gapful number since it is divisible by the number (40) 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 40023720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73442160).

40023720 is an abundant number, since it is smaller than the sum of its proper divisors (106860600).

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

40023720 is a wasteful number, since it uses less digits than its factorization.

40023720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 40023720 is about 6326.4302730687. The cubic root of 40023720 is about 342.0627770264.

Adding to 40023720 its reverse (2732004), we get a palindrome (42755724).

The spelling of 40023720 in words is "forty million, twenty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1123 1188 1320 1485 1620 1782 1980 2246 2376 2970 3240 3369 3564 3960 4455 4492 5615 5940 6738 7128 8910 8984 10107 11230 11880 12353 13476 16845 17820 20214 22460 24706 26952 30321 33690 35640 37059 40428 44920 49412 50535 60642 61765 67380 74118 80856 90963 98824 101070 111177 121284 123530 134760 148236 151605 181926 185295 202140 222354 242568 247060 296472 303210 333531 363852 370590 404280 444708 454815 494120 555885 606420 667062 727704 741180 889416 909630 1000593 1111770 1212840 1334124 1482360 1667655 1819260 2001186 2223540 2668248 3335310 3638520 4002372 4447080 5002965 6670620 8004744 10005930 13341240 20011860 40023720