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215516040 = 23351795967
BaseRepresentation
bin11001101100010…
…00001110001000
3120000112100102120
430312020032020
5420133003130
633215131240
75224566435
oct1466101610
9500470376
10215516040
11100720433
1260213b20
133585a7ac
14208a0b8c
1513dc1910
hexcd88388

215516040 has 32 divisors (see below), whose sum is σ = 646548480. Its totient is φ = 57470912.

The previous prime is 215516039. The next prime is 215516047. The reversal of 215516040 is 40615512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 215516040.

It is not an unprimeable number, because it can be changed into a prime (215516047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 897864 + ... + 898103.

It is an arithmetic number, because the mean of its divisors is an integer number (20204640).

Almost surely, 2215516040 is an apocalyptic number.

215516040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215516040 is an abundant number, since it is smaller than the sum of its proper divisors (431032440).

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

215516040 is a wasteful number, since it uses less digits than its factorization.

215516040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795981 (or 1795977 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 215516040 is about 14680.4645703057. The cubic root of 215516040 is about 599.5515537991.

The spelling of 215516040 in words is "two hundred fifteen million, five hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1795967 3591934 5387901 7183868 8979835 10775802 14367736 17959670 21551604 26939505 35919340 43103208 53879010 71838680 107758020 215516040