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13745466 = 232743259
BaseRepresentation
bin110100011011…
…110100111010
3221212100020100
4310123310322
512004323331
61210340230
7224556150
oct64336472
927770210
1013745466
117839199
12472a676
132b03617
141b7b3d0
151317ae6
hexd1bd3a

13745466 has 72 divisors (see below), whose sum is σ = 35436960. Its totient is φ = 3770928.

The previous prime is 13745461. The next prime is 13745489. The reversal of 13745466 is 66454731.

It is a happy number.

Its product of digits (60480) is a multiple of the sum of its prime factors (160).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13745466.

It is not an unprimeable number, because it can be changed into a prime (13745461) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232945 + ... + 233003.

It is an arithmetic number, because the mean of its divisors is an integer number (492180).

Almost surely, 213745466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13745466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17718480).

13745466 is an abundant number, since it is smaller than the sum of its proper divisors (21691494).

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

13745466 is a wasteful number, since it uses less digits than its factorization.

13745466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 13745466 is about 3707.4878287056. The cubic root of 13745466 is about 239.5446574763.

The spelling of 13745466 in words is "thirteen million, seven hundred forty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 59 63 86 118 126 129 177 258 301 354 387 413 531 602 774 826 903 1062 1239 1806 1849 2478 2537 2709 3698 3717 5074 5418 5547 7434 7611 11094 12943 15222 16641 17759 22833 25886 33282 35518 38829 45666 53277 77658 106554 109091 116487 159831 218182 232974 319662 327273 654546 763637 981819 1527274 1963638 2290911 4581822 6872733 13745466