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10664514 = 233789317
BaseRepresentation
bin101000101011…
…101001000010
3202001210222000
4220223221002
510212231024
61020324430
7156434610
oct50535102
922053860
1010664514
116024453
1236a3716
132295183
1415b86b0
15e09cc9
hexa2ba42

10664514 has 64 divisors (see below), whose sum is σ = 27475200. Its totient is φ = 3003264.

The previous prime is 10664513. The next prime is 10664519. The reversal of 10664514 is 41546601.

10664514 is a `hidden beast` number, since 1 + 0 + 6 + 645 + 14 = 666.

It is a super-2 number, since 2×106645142 = 227463717712392, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10664513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33484 + ... + 33800.

It is an arithmetic number, because the mean of its divisors is an integer number (429300).

Almost surely, 210664514 is an apocalyptic number.

10664514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10664514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737600).

10664514 is an abundant number, since it is smaller than the sum of its proper divisors (16810686).

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

10664514 is a wasteful number, since it uses less digits than its factorization.

10664514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10664514 is about 3265.6567486495. The cubic root of 10664514 is about 220.1136740369.

It can be divided in two parts, 106 and 64514, that added together give a triangular number (64620 = T359).

The spelling of 10664514 in words is "ten million, six hundred sixty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 178 189 267 317 378 534 623 634 801 951 1246 1602 1869 1902 2219 2403 2853 3738 4438 4806 5607 5706 6657 8559 11214 13314 16821 17118 19971 28213 33642 39942 56426 59913 84639 119826 169278 197491 253917 394982 507834 592473 761751 1184946 1523502 1777419 3554838 5332257 10664514