Search a number
-
+
213964860 = 223523155047
BaseRepresentation
bin11001100000011…
…01100000111100
3112220121112121110
430300031200330
5414233333420
633122002020
75205446154
oct1460154074
9486545543
10213964860
11aa860a6a
125b7a6310
1335436735
14205b9764
1513bb6ee0
hexcc0d83c

213964860 has 48 divisors (see below), whose sum is σ = 625153536. Its totient is φ = 54576192.

The previous prime is 213964853. The next prime is 213964879. The reversal of 213964860 is 68469312.

It is a super-2 number, since 2×2139648602 = 91561922629639200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76144 + ... + 78903.

It is an arithmetic number, because the mean of its divisors is an integer number (13024032).

Almost surely, 2213964860 is an apocalyptic number.

213964860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213964860 is an abundant number, since it is smaller than the sum of its proper divisors (411188676).

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

213964860 is a wasteful number, since it uses less digits than its factorization.

213964860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155082 (or 155080 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 213964860 is about 14627.5377285447. The cubic root of 213964860 is about 598.1096617344.

The spelling of 213964860 in words is "two hundred thirteen million, nine hundred sixty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 155047 310094 465141 620188 775235 930282 1550470 1860564 2325705 3100940 3566081 4651410 7132162 9302820 10698243 14264324 17830405 21396486 35660810 42792972 53491215 71321620 106982430 213964860