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66014320 = 2454797181
BaseRepresentation
bin1111101111010…
…0110001110000
311121012212121211
43323310301300
5113344424240
610314525504
71431053401
oct373646160
9147185554
1066014320
1134299599
121a136894
13108a4638
148aa59a8
155bdebea
hex3ef4c70

66014320 has 80 divisors (see below), whose sum is σ = 159239808. Its totient is φ = 25436160.

The previous prime is 66014317. The next prime is 66014323. The reversal of 66014320 is 2341066.

It is an interprime number because it is at equal distance from previous prime (66014317) and next prime (66014323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 66014291 and 66014300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66014323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364630 + ... + 364810.

Almost surely, 266014320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79619904).

66014320 is an abundant number, since it is smaller than the sum of its proper divisors (93225488).

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

66014320 is a wasteful number, since it uses less digits than its factorization.

66014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 66014320 is about 8124.9196919108. The cubic root of 66014320 is about 404.1532275027.

Adding to 66014320 its reverse (2341066), we get a palindrome (68355386).

The spelling of 66014320 in words is "sixty-six million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 97 181 188 194 235 362 376 388 470 485 724 752 776 905 940 970 1448 1552 1810 1880 1940 2896 3620 3760 3880 4559 7240 7760 8507 9118 14480 17014 17557 18236 22795 34028 35114 36472 42535 45590 68056 70228 72944 85070 87785 91180 136112 140456 170140 175570 182360 280912 340280 351140 364720 680560 702280 825179 1404560 1650358 3300716 4125895 6601432 8251790 13202864 16503580 33007160 66014320