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215020120 = 23576112589
BaseRepresentation
bin11001101000011…
…11001001011000
3112222121011011011
430310033021120
5420021120440
633200343304
75220432550
oct1464171130
9488534134
10215020120
11100411887
1260014b34
1335715b53
14207b2160
1513d249ea
hexcd0f258

215020120 has 64 divisors (see below), whose sum is σ = 562017600. Its totient is φ = 72506880.

The previous prime is 215020111. The next prime is 215020133. The reversal of 215020120 is 21020512.

It is a self number, because there is not a number n which added to its sum of digits gives 215020120.

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 15 ways as a sum of consecutive naturals, for example, 10786 + ... + 23374.

It is an arithmetic number, because the mean of its divisors is an integer number (8781525).

Almost surely, 2215020120 is an apocalyptic number.

215020120 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 215020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281008800).

215020120 is an abundant number, since it is smaller than the sum of its proper divisors (346997480).

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

215020120 is a wasteful number, since it uses less digits than its factorization.

215020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12668 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 215020120 is about 14663.5643688702. The cubic root of 215020120 is about 599.0913282578.

Adding to 215020120 its reverse (21020512), we get a palindrome (236040632).

The spelling of 215020120 in words is "two hundred fifteen million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4270 8540 12589 17080 25178 50356 62945 88123 100712 125890 176246 251780 352492 440615 503560 704984 767929 881230 1535858 1762460 3071716 3524920 3839645 5375503 6143432 7679290 10751006 15358580 21502012 26877515 30717160 43004024 53755030 107510060 215020120