Search a number
-
+
40747560 = 23357179271
BaseRepresentation
bin1001101101110…
…0001000101000
32211200012010220
42123130020220
540412410220
64013210040
71003230360
oct233341050
984605126
1040747560
1121001277
1211790920
138598ba9
1455a99a0
15389d540
hex26dc228

40747560 has 128 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 9227520.

The previous prime is 40747519. The next prime is 40747601. The reversal of 40747560 is 6574704.

It is an interprime number because it is at equal distance from previous prime (40747519) and next prime (40747601).

It is an unprimeable number.

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, 150225 + ... + 150495.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 240747560 is an apocalyptic number.

40747560 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 40747560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

40747560 is an abundant number, since it is smaller than the sum of its proper divisors (100257240).

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

40747560 is a wasteful number, since it uses less digits than its factorization.

40747560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 40747560 is about 6383.3815489911. The cubic root of 40747560 is about 344.1125690725.

The spelling of 40747560 in words is "forty million, seven hundred forty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 179 210 271 280 358 420 537 542 716 813 840 895 1074 1084 1253 1355 1432 1626 1790 1897 2148 2168 2506 2685 2710 3252 3580 3759 3794 4065 4296 5012 5370 5420 5691 6265 6504 7160 7518 7588 8130 9485 10024 10740 10840 11382 12530 15036 15176 16260 18795 18970 21480 22764 25060 28455 30072 32520 37590 37940 45528 48509 50120 56910 75180 75880 97018 113820 145527 150360 194036 227640 242545 291054 339563 388072 485090 582108 679126 727635 970180 1018689 1164216 1358252 1455270 1697815 1940360 2037378 2716504 2910540 3395630 4074756 5093445 5821080 6791260 8149512 10186890 13582520 20373780 40747560