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20879124 = 223723101107
BaseRepresentation
bin100111110100…
…1011100010100
31110021202202220
41033221130110
520321112444
62023302340
7342320040
oct117513424
943252686
1020879124
1110870882
126baa9b0
134430616
142ab7020
151c76619
hex13e9714

20879124 has 96 divisors (see below), whose sum is σ = 59222016. Its totient is φ = 5596800.

The previous prime is 20879113. The next prime is 20879129. The reversal of 20879124 is 42197802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20879129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195079 + ... + 195185.

It is an arithmetic number, because the mean of its divisors is an integer number (616896).

Almost surely, 220879124 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 20879124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29611008).

20879124 is an abundant number, since it is smaller than the sum of its proper divisors (38342892).

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

20879124 is a wasteful number, since it uses less digits than its factorization.

20879124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 20879124 is about 4569.3680088170. The cubic root of 20879124 is about 275.3620531548.

It can be divided in two parts, 2087 and 9124, that added together give a palindrome (11211).

The spelling of 20879124 in words is "twenty million, eight hundred seventy-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 101 107 138 161 202 214 276 303 321 322 404 428 483 606 642 644 707 749 966 1212 1284 1414 1498 1932 2121 2247 2323 2461 2828 2996 4242 4494 4646 4922 6969 7383 8484 8988 9292 9844 10807 13938 14766 16261 17227 21614 27876 29532 32421 32522 34454 43228 48783 51681 64842 65044 68908 75649 97566 103362 129684 151298 195132 206724 226947 248561 302596 453894 497122 745683 907788 994244 1491366 1739927 2982732 3479854 5219781 6959708 10439562 20879124