Search a number
-
+
66214032 = 2437119429
BaseRepresentation
bin1111110010010…
…1100010010000
311121121000120120
43330211202100
5113422322112
610323110240
71432544553
oct374454220
9147530516
1066214032
1134415645
121a212380
1310944501
148b1869a
155c2de8c
hex3f25890

66214032 has 40 divisors (see below), whose sum is σ = 173471040. Its totient is φ = 21759360.

The previous prime is 66214021. The next prime is 66214063. The reversal of 66214032 is 23041266.

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

It is a junction number, because it is equal to n+sod(n) for n = 66213993 and 66214011.

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, 6307 + ... + 13122.

It is an arithmetic number, because the mean of its divisors is an integer number (4336776).

Almost surely, 266214032 is an apocalyptic number.

It is an amenable number.

66214032 is an abundant number, since it is smaller than the sum of its proper divisors (107257008).

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

66214032 is a wasteful number, since it uses less digits than its factorization.

66214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19511 (or 19505 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 66214032 is about 8137.2005014010. The cubic root of 66214032 is about 404.5603764941.

Adding to 66214032 its reverse (23041266), we get a palindrome (89255298).

The spelling of 66214032 in words is "sixty-six million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 19429 38858 58287 77716 116574 155432 233148 310864 466296 932592 1379459 2758918 4138377 5517836 8276754 11035672 16553508 22071344 33107016 66214032