Search a number
-
+
40487720 = 2357313227
BaseRepresentation
bin1001101001110…
…0101100101000
32211011222201012
42122130230220
540331101340
64003443052
71001066000
oct232345450
984158635
1040487720
1120944029
1211686488
138507840
14553d000
15384b565
hex269cb28

40487720 has 128 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 12757248.

The previous prime is 40487701. The next prime is 40487729. The reversal of 40487720 is 2778404.

It is not an unprimeable number, because it can be changed into a prime (40487729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178247 + ... + 178473.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 240487720 is an apocalyptic number.

40487720 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 40487720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

40487720 is an abundant number, since it is smaller than the sum of its proper divisors (74424280).

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

40487720 is a wasteful number, since it uses less digits than its factorization.

40487720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 40487720 is about 6362.9961496138. The cubic root of 40487720 is about 343.3795603910.

The spelling of 40487720 in words is "forty million, four hundred eighty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 227 245 260 280 343 364 392 454 455 490 520 637 686 728 908 910 980 1135 1274 1372 1589 1715 1816 1820 1960 2270 2548 2744 2951 3178 3185 3430 3640 4459 4540 5096 5902 6356 6370 6860 7945 8918 9080 11123 11804 12712 12740 13720 14755 15890 17836 20657 22246 22295 23608 25480 29510 31780 35672 41314 44492 44590 55615 59020 63560 77861 82628 88984 89180 103285 111230 118040 144599 155722 165256 178360 206570 222460 289198 311444 389305 413140 444920 578396 622888 722995 778610 826280 1012193 1156792 1445990 1557220 2024386 2891980 3114440 4048772 5060965 5783960 8097544 10121930 20243860 40487720