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14764068 = 223211231621
BaseRepresentation
bin111000010100…
…100000100100
31000210002111100
4320110200210
512234422233
61244240100
7236330634
oct70244044
930702440
1014764068
118374510
124b40030
13309c147
141d646c4
151469813
hexe14824

14764068 has 72 divisors (see below), whose sum is σ = 42509376. Its totient is φ = 4276800.

The previous prime is 14764067. The next prime is 14764069. The reversal of 14764068 is 86046741.

14764068 is a `hidden beast` number, since 1 + 4 + 7 + 640 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14764067) and next prime (14764069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14764067) 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, 8298 + ... + 9918.

It is an arithmetic number, because the mean of its divisors is an integer number (590408).

Almost surely, 214764068 is an apocalyptic number.

14764068 is a gapful number since it is divisible by the number (18) 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 14764068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254688).

14764068 is an abundant number, since it is smaller than the sum of its proper divisors (27745308).

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

14764068 is a wasteful number, since it uses less digits than its factorization.

14764068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 14764068 is about 3842.4039350386. The cubic root of 14764068 is about 245.3213498072.

The spelling of 14764068 in words is "fourteen million, seven hundred sixty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 1621 2277 3036 3242 4554 4863 6484 9108 9726 14589 17831 19452 29178 35662 37283 53493 58356 71324 74566 106986 111849 149132 160479 213972 223698 320958 335547 410113 447396 641916 671094 820226 1230339 1342188 1640452 2460678 3691017 4921356 7382034 14764068