Search a number
-
+
14768772 = 2232931372
BaseRepresentation
bin111000010101…
…101010000100
31000210022221120
4320111222010
512240100042
61244313540
7236350434
oct70255204
930708846
1014768772
118377aa7
124b428b0
1330a1325
141d662c4
15146adec
hexe15a84

14768772 has 72 divisors (see below), whose sum is σ = 37820160. Its totient is φ = 4475520.

The previous prime is 14768729. The next prime is 14768773. The reversal of 14768772 is 27786741.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14768773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399138 + ... + 399174.

It is an arithmetic number, because the mean of its divisors is an integer number (525280).

Almost surely, 214768772 is an apocalyptic number.

14768772 is a gapful number since it is divisible by the number (12) 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 14768772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18910080).

14768772 is an abundant number, since it is smaller than the sum of its proper divisors (23051388).

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

14768772 is a wasteful number, since it uses less digits than its factorization.

14768772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 14768772 is about 3843.0160030892. The cubic root of 14768772 is about 245.3474010981.

The spelling of 14768772 in words is "fourteen million, seven hundred sixty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 31 37 58 62 74 87 93 111 116 124 148 174 186 222 348 372 444 899 1073 1147 1369 1798 2146 2294 2697 2738 3219 3441 3596 4107 4292 4588 5394 5476 6438 6882 8214 10788 12876 13764 16428 33263 39701 42439 66526 79402 84878 99789 119103 127317 133052 158804 169756 199578 238206 254634 399156 476412 509268 1230731 2461462 3692193 4922924 7384386 14768772