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215341040 = 24517191829
BaseRepresentation
bin11001101010111…
…01011111110000
3120000012110101002
430311131133300
5420111403130
633211301132
75223240305
oct1465353760
9500173332
10215341040
11100610a02
126014a7a8
13357c8c45
14208570ac
1513d89b45
hexcd5d7f0

215341040 has 80 divisors (see below), whose sum is σ = 533537280. Its totient is φ = 80547840.

The previous prime is 215341039. The next prime is 215341069. The reversal of 215341040 is 40143512.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259346 + ... + 260174.

It is an arithmetic number, because the mean of its divisors is an integer number (6669216).

Almost surely, 2215341040 is an apocalyptic number.

215341040 is a gapful number since it is divisible by the number (20) 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 215341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266768640).

215341040 is an abundant number, since it is smaller than the sum of its proper divisors (318196240).

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

215341040 is a wasteful number, since it uses less digits than its factorization.

215341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 215341040 is about 14674.5030580255. The cubic root of 215341040 is about 599.3892303302.

Adding to 215341040 its reverse (40143512), we get a palindrome (255484552).

The spelling of 215341040 in words is "two hundred fifteen million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 191 272 340 382 680 764 829 955 1360 1528 1658 1910 3056 3247 3316 3820 4145 6494 6632 7640 8290 12988 13264 14093 15280 16235 16580 25976 28186 32470 33160 51952 56372 64940 66320 70465 112744 129880 140930 158339 225488 259760 281860 316678 563720 633356 791695 1127440 1266712 1583390 2533424 2691763 3166780 5383526 6333560 10767052 12667120 13458815 21534104 26917630 43068208 53835260 107670520 215341040