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40103560 = 235733779
BaseRepresentation
bin1001100011111…
…0111010001000
32210110110202001
42120332322020
540231303220
63551320344
7664606000
oct230767210
983413661
1040103560
1120701442
12115200b4
138401a23
14547d000
1537c280a
hex263ee88

40103560 has 128 divisors (see below), whose sum is σ = 109440000. Its totient is φ = 13208832.

The previous prime is 40103551. The next prime is 40103573. The reversal of 40103560 is 6530104.

40103560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507601 + ... + 507679.

It is an arithmetic number, because the mean of its divisors is an integer number (855000).

Almost surely, 240103560 is an apocalyptic number.

40103560 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 40103560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720000).

40103560 is an abundant number, since it is smaller than the sum of its proper divisors (69336440).

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

40103560 is a wasteful number, since it uses less digits than its factorization.

40103560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 40103560 is about 6332.7371649232. The cubic root of 40103560 is about 342.2900768420.

Adding to 40103560 its reverse (6530104), we get a palindrome (46633664).

The spelling of 40103560 in words is "forty million, one hundred three thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 49 56 70 74 79 98 140 148 158 185 196 245 259 280 296 316 343 370 392 395 490 518 553 632 686 740 790 980 1036 1106 1295 1372 1480 1580 1715 1813 1960 2072 2212 2590 2744 2765 2923 3160 3430 3626 3871 4424 5180 5530 5846 6860 7252 7742 9065 10360 11060 11692 12691 13720 14504 14615 15484 18130 19355 20461 22120 23384 25382 27097 29230 30968 36260 38710 40922 50764 54194 58460 63455 72520 77420 81844 101528 102305 108388 116920 126910 135485 143227 154840 163688 204610 216776 253820 270970 286454 409220 507640 541940 572908 716135 818440 1002589 1083880 1145816 1432270 2005178 2864540 4010356 5012945 5729080 8020712 10025890 20051780 40103560