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4146714 = 2341113179
BaseRepresentation
bin1111110100011000011010
321210200020000
433310120122
52030143324
6224513430
750150355
oct17643032
97720200
104146714
112382540
12147b876
13b225a0
1479d29c
1556d9c9
hex3f461a

4146714 has 80 divisors (see below), whose sum is σ = 10977120. Its totient is φ = 1153440.

The previous prime is 4146679. The next prime is 4146743. The reversal of 4146714 is 4176414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23077 + ... + 23255.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

Almost surely, 24146714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

4146714 is an abundant number, since it is smaller than the sum of its proper divisors (6830406).

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

4146714 is a wasteful number, since it uses less digits than its factorization.

4146714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4146714 is about 2036.3482020519. The cubic root of 4146714 is about 160.6576318406.

The spelling of 4146714 in words is "four million, one hundred forty-six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 179 198 234 286 297 351 358 429 537 594 702 858 891 1053 1074 1287 1611 1782 1969 2106 2327 2574 3222 3861 3938 4654 4833 5907 6981 7722 9666 11583 11814 13962 14499 17721 20943 23166 25597 28998 35442 41886 51194 53163 62829 76791 106326 125658 153582 159489 188487 230373 318978 376974 460746 691119 1382238 2073357 4146714