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213146780 = 225711138407
BaseRepresentation
bin11001011010001…
…01110010011100
3112212001222102012
430231011302130
5414031144110
633052250352
75165501120
oct1455056234
9485058365
10213146780
11aa352370
125b4709b8
133520b272
1420445580
1513aa4905
hexcb45c9c

213146780 has 48 divisors (see below), whose sum is σ = 558061056. Its totient is φ = 66434880.

The previous prime is 213146779. The next prime is 213146783. The reversal of 213146780 is 87641312.

213146780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213146783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67664 + ... + 70743.

It is an arithmetic number, because the mean of its divisors is an integer number (11626272).

Almost surely, 2213146780 is an apocalyptic number.

213146780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213146780 is an abundant number, since it is smaller than the sum of its proper divisors (344914276).

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

213146780 is a wasteful number, since it uses less digits than its factorization.

213146780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138434 (or 138432 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 213146780 is about 14599.5472532541. The cubic root of 213146780 is about 597.3464110403.

The spelling of 213146780 in words is "two hundred thirteen million, one hundred forty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 138407 276814 553628 692035 968849 1384070 1522477 1937698 2768140 3044954 3875396 4844245 6089908 7612385 9688490 10657339 15224770 19376980 21314678 30449540 42629356 53286695 106573390 213146780