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14978061 = 337194397
BaseRepresentation
bin111001001000…
…110000001101
31001011222001000
4321020300031
512313244221
61253010513
7241211550
oct71106015
931158030
1014978061
11850026a
125023a39
133145677
141dbc697
1514ace26
hexe48c0d

14978061 has 64 divisors (see below), whose sum is σ = 27596800. Its totient is φ = 7838208.

The previous prime is 14978059. The next prime is 14978111. The reversal of 14978061 is 16087941.

It is not a de Polignac number, because 14978061 - 21 = 14978059 is a prime.

It is a super-2 number, since 2×149780612 = 448684622639442, which contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 14978061 = 453 + 2463 = 1733 + 2143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14978011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154365 + ... + 154461.

It is an arithmetic number, because the mean of its divisors is an integer number (431200).

Almost surely, 214978061 is an apocalyptic number.

It is an amenable number.

14978061 is a deficient number, since it is larger than the sum of its proper divisors (12618739).

14978061 is a wasteful number, since it uses less digits than its factorization.

14978061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 14978061 is about 3870.1499970931. The cubic root of 14978061 is about 246.5009127070.

It can be divided in two parts, 149 and 78061, that added together give a triangular number (78210 = T395).

The spelling of 14978061 in words is "fourteen million, nine hundred seventy-eight thousand, sixty-one".

Divisors: 1 3 7 9 19 21 27 43 57 63 97 129 133 171 189 291 301 387 399 513 679 817 873 903 1161 1197 1843 2037 2451 2619 2709 3591 4171 5529 5719 6111 7353 8127 12513 12901 16587 17157 18333 22059 29197 37539 38703 49761 51471 79249 87591 112617 116109 154413 237747 262773 348327 554743 713241 788319 1664229 2139723 4992687 14978061