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16964970 = 23511101509
BaseRepresentation
bin100000010110…
…1110101101010
31011220220120020
41000231311222
513320334340
61403341310
7264125361
oct100556552
934826506
1016964970
119638040
125821836
13368cb59
1423787d8
1517519d0
hex102dd6a

16964970 has 64 divisors (see below), whose sum is σ = 44945280. Its totient is φ = 4064000.

The previous prime is 16964947. The next prime is 16964977. The reversal of 16964970 is 7946961.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16964977) 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, 33076 + ... + 33584.

It is an arithmetic number, because the mean of its divisors is an integer number (702270).

Almost surely, 216964970 is an apocalyptic number.

16964970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16964970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22472640).

16964970 is an abundant number, since it is smaller than the sum of its proper divisors (27980310).

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

16964970 is a wasteful number, since it uses less digits than its factorization.

16964970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 16964970 is about 4118.8554235370. The cubic root of 16964970 is about 256.9514258656.

Subtracting from 16964970 its reverse (7946961), we obtain a square (9018009 = 30032).

It can be divided in two parts, 1696 and 4970, that added together give a palindrome (6666).

The spelling of 16964970 in words is "sixteen million, nine hundred sixty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 509 606 1010 1018 1111 1515 1527 2222 2545 3030 3054 3333 5090 5555 5599 6666 7635 11110 11198 15270 16665 16797 27995 33330 33594 51409 55990 83985 102818 154227 167970 257045 308454 514090 565499 771135 1130998 1542270 1696497 2827495 3392994 5654990 8482485 16964970