Search a number
-
+
19688970 = 2357295361
BaseRepresentation
bin100101100011…
…0111000001010
31101001022012010
41023012320022
520020021340
61542000350
7326232150
oct113067012
941038163
1019688970
1110128684
1267160b6
1341049a2
1428873d0
151addb80
hex12c6e0a

19688970 has 128 divisors (see below), whose sum is σ = 57853440. Its totient is φ = 4193280.

The previous prime is 19688953. The next prime is 19688993. The reversal of 19688970 is 7988691.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322740 + ... + 322800.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 219688970 is an apocalyptic number.

19688970 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 19688970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28926720).

19688970 is an abundant number, since it is smaller than the sum of its proper divisors (38164470).

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

19688970 is a wasteful number, since it uses less digits than its factorization.

19688970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 19688970 is about 4437.2254844666. The cubic root of 19688970 is about 270.0272949086.

The spelling of 19688970 in words is "nineteen million, six hundred eighty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 53 58 61 70 87 105 106 122 145 159 174 183 203 210 265 290 305 318 366 371 406 427 435 530 609 610 742 795 854 870 915 1015 1113 1218 1281 1537 1590 1769 1830 1855 2030 2135 2226 2562 3045 3074 3233 3538 3710 4270 4611 5307 5565 6090 6405 6466 7685 8845 9222 9699 10614 10759 11130 12383 12810 15370 16165 17690 19398 21518 22631 23055 24766 26535 32277 32330 37149 45262 46110 48495 53070 53795 61915 64554 67893 74298 93757 96990 107590 113155 123830 135786 161385 185745 187514 226310 281271 322770 339465 371490 468785 562542 656299 678930 937570 1312598 1406355 1968897 2812710 3281495 3937794 6562990 9844485 19688970