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215460040 = 23517316853
BaseRepresentation
bin11001101011110…
…10100011001000
3120000102111121111
430311322203020
5420124210130
633214020104
75224244245
oct1465724310
9500374544
10215460040
11100692354
12601a7634
133583b163
14208885cc
1513db002a
hexcd7a8c8

215460040 has 32 divisors (see below), whose sum is σ = 513303480. Its totient is φ = 81114112.

The previous prime is 215460029. The next prime is 215460059. The reversal of 215460040 is 40064512.

215460040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 135070884 + 80389156 = 11622^2 + 8966^2 .

It is a junction number, because it is equal to n+sod(n) for n = 215459993 and 215460020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157747 + ... + 159106.

Almost surely, 2215460040 is an apocalyptic number.

215460040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215460040 is an abundant number, since it is smaller than the sum of its proper divisors (297843440).

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

215460040 is a wasteful number, since it uses less digits than its factorization.

215460040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316881 (or 316877 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 215460040 is about 14678.5571498019. The cubic root of 215460040 is about 599.4996198526.

The spelling of 215460040 in words is "two hundred fifteen million, four hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 316853 633706 1267412 1584265 2534824 3168530 5386501 6337060 10773002 12674120 21546004 26932505 43092008 53865010 107730020 215460040