Search a number
-
+
132233670 = 232523127503
BaseRepresentation
bin1111110000110…
…11100111000110
3100012211011111100
413320123213012
5232322434140
621042120530
73163652622
oct770334706
9305734440
10132233670
1168708128
1238350146
132151b39a
14137c2182
15b920530
hex7e1b9c6

132233670 has 96 divisors (see below), whose sum is σ = 362299392. Its totient is φ = 33397056.

The previous prime is 132233669. The next prime is 132233683. The reversal of 132233670 is 76332231.

132233670 is a `hidden beast` number, since 1 + 322 + 336 + 7 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262639 + ... + 263141.

It is an arithmetic number, because the mean of its divisors is an integer number (3773952).

Almost surely, 2132233670 is an apocalyptic number.

132233670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132233670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181149696).

132233670 is an abundant number, since it is smaller than the sum of its proper divisors (230065722).

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

132233670 is a wasteful number, since it uses less digits than its factorization.

132233670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 132233670 is about 11499.2899780813. The cubic root of 132233670 is about 509.4646053863.

The spelling of 132233670 in words is "one hundred thirty-two million, two hundred thirty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 127 138 207 230 254 345 381 414 503 635 690 762 1006 1035 1143 1270 1509 1905 2070 2286 2515 2921 3018 3810 4527 5030 5715 5842 7545 8763 9054 11430 11569 14605 15090 17526 22635 23138 26289 29210 34707 43815 45270 52578 57845 63881 69414 87630 104121 115690 127762 131445 173535 191643 208242 262890 319405 347070 383286 520605 574929 638810 958215 1041210 1149858 1469263 1916430 2874645 2938526 4407789 5749290 7346315 8815578 13223367 14692630 22038945 26446734 44077890 66116835 132233670