Search a number
-
+
40840560 = 24325131433
BaseRepresentation
bin1001101111001…
…0110101110000
32211211220201100
42123302311300
540423344220
64015204400
71004065455
oct233626560
984756640
1040840560
1121065132
1211816700
1385cc317
1455d182c
1538bad90
hex26f2d70

40840560 has 120 divisors (see below), whose sum is σ = 138522384. Its totient is φ = 10782720.

The previous prime is 40840543. The next prime is 40840577. The reversal of 40840560 is 6504804.

It is an interprime number because it is at equal distance from previous prime (40840543) and next prime (40840577).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×408405602 = 3335902682227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94104 + ... + 94536.

Almost surely, 240840560 is an apocalyptic number.

40840560 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 40840560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69261192).

40840560 is an abundant number, since it is smaller than the sum of its proper divisors (97681824).

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

40840560 is a wasteful number, since it uses less digits than its factorization.

40840560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40840560 is about 6390.6619375461. The cubic root of 40840560 is about 344.3741647186.

The spelling of 40840560 in words is "forty million, eight hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 360 393 433 524 655 720 786 866 1048 1179 1299 1310 1572 1732 1965 2096 2165 2358 2598 2620 3144 3464 3897 3930 4330 4716 5196 5240 5895 6288 6495 6928 7794 7860 8660 9432 10392 10480 11790 12990 15588 15720 17320 18864 19485 20784 23580 25980 31176 31440 34640 38970 47160 51960 56723 62352 77940 94320 103920 113446 155880 170169 226892 283615 311760 340338 453784 510507 567230 680676 850845 907568 1021014 1134460 1361352 1701690 2042028 2268920 2552535 2722704 3403380 4084056 4537840 5105070 6806760 8168112 10210140 13613520 20420280 40840560