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40530160 = 2451125379
BaseRepresentation
bin1001101010011…
…1000011110000
32211021010221001
42122213003300
540333431120
64004411344
71001333506
oct232470360
984233831
1040530160
1120972a00
12116a6b54
138520c58
145550676
153858e0a
hex26a70f0

40530160 has 120 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 14277120.

The previous prime is 40530157. The next prime is 40530167. The reversal of 40530160 is 6103504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40530167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513001 + ... + 513079.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 240530160 is an apocalyptic number.

40530160 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 40530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

40530160 is an abundant number, since it is smaller than the sum of its proper divisors (66338000).

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

40530160 is a wasteful number, since it uses less digits than its factorization.

40530160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

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

The square root of 40530160 is about 6366.3301830804. The cubic root of 40530160 is about 343.4994974945.

Adding to 40530160 its reverse (6103504), we get a palindrome (46633664).

The spelling of 40530160 in words is "forty million, five hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 79 80 88 106 110 121 158 176 212 220 242 265 316 395 424 440 484 530 583 605 632 790 848 869 880 968 1060 1166 1210 1264 1580 1738 1936 2120 2332 2420 2915 3160 3476 4187 4240 4345 4664 4840 5830 6320 6413 6952 8374 8690 9328 9559 9680 11660 12826 13904 16748 17380 19118 20935 23320 25652 32065 33496 34760 38236 41870 46057 46640 47795 51304 64130 66992 69520 76472 83740 92114 95590 102608 128260 152944 167480 184228 191180 230285 256520 334960 368456 382360 460570 506627 513040 736912 764720 921140 1013254 1842280 2026508 2533135 3684560 4053016 5066270 8106032 10132540 20265080 40530160